Search Results - "Dynamical aspects of holomorphic foliations and vector fields"

Foliation adjunction

Authors: Paolo Cascini Calum Spicer

Source: Math Ann
Cascini, P & Spicer, C 2025, 'Foliation adjunction', Mathematische Annalen, vol. 391, no. 4, 109615, pp. 5695-5727. https://doi.org/10.1007/s00208-024-03067-5

Subject Terms: Mathematics - Algebraic Geometry, 14E30, 37F75, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, 0101 mathematics, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG), 01 natural sciences, Article

File Description: application/xml; application/pdf

Access URL: https://pubmed.ncbi.nlm.nih.gov/40166456
http://arxiv.org/abs/2309.10697
https://zbmath.org/8022204
https://doi.org/10.1007/s00208-024-03067-5
https://kclpure.kcl.ac.uk/ws/files/348424528/s00208-024-03067-5.pdf

Foliations by curves on threefolds

Authors: Cavalcante, Alana Jardim, Marcos Santiago, Danilo

Source: Mathematische Nachrichten. 296:552-573

Subject Terms: Mathematics - Algebraic Geometry, Algebraic moduli problems, moduli of vector bundles, Singularities of holomorphic vector fields and foliations, generic foliations, FOS: Mathematics, moduli spaces, Dynamical aspects of holomorphic foliations and vector fields, stable vector bundles, 0101 mathematics, Algebraic Geometry (math.AG), 01 natural sciences, holomorphic distributions

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Access URL: http://arxiv.org/abs/2101.06244

Separatrices for Real Analytic Vector Fields in the Plane: Separatrices for real analytic vector fields in the plane

Authors: Cabrera, Eduardo Mol, Rogério

Source: Moscow Mathematical Journal. 22:595-611

Subject Terms: 32S65, 37F75, 34Cxx, 14P15, Qualitative theory for ordinary differential equations, Mathematics - Complex Variables, real analytic vector field in the plane, Dynamical Systems (math.DS), 01 natural sciences, Mathematics - Classical Analysis and ODEs, Singularities of holomorphic vector fields and foliations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Mathematics - Dynamical Systems, Complex Variables (math.CV), 0101 mathematics, singularities

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Access URL: http://arxiv.org/abs/1911.12803
https://zbmath.org/7618901

Local and global applications of the Minimal Model Program for co-rank 1 foliations on threefolds: Local and global applications of the minimal model program for co-rank 1 foliations on threefolds

Authors: Spicer, Calum Svaldi, Roberto

Source: Journal of the European Mathematical Society. 24:3969-4025

Subject Terms: Foliations, minimal model program, singularities, separatrices, hyperbolicity, Singularities of holomorphic vector fields and foliations, Dynamical aspects of holomorphic foliations and vector fields, Minimal model program (Mori theory, extremal rays), foliations

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Access URL: https://zbmath.org/7608246
https://doi.org/10.4171/jems/1173
https://hdl.handle.net/2434/937286
https://doi.org/10.4171/JEMS/1173
https://ems.press/journals/jems/articles/3731347

A Residue Formula for Meromorphic Connections and Applications to Stable Sets of Foliations: A residue formula for meromorphic connections and applications to stable sets of foliations

Authors: Masanori Adachi Séverine Biard Judith Brinkschulte et al.

Contributors: Masanori Adachi Séverine Biard Judith Brinkschulte et al.

Source: The Journal of Geometric Analysis. 33

Subject Terms: Levi-flat, Mathematics - Complex Variables, Minimal set, Continuation of analytic objects in several complex variables, Dynamical Systems (math.DS), 01 natural sciences, holomorphic connection, analytic continuation, Residue, minimal set, foliation, residue, Singularities of holomorphic vector fields and foliations, Real submanifolds in complex manifolds, FOS: Mathematics, Removable singularities in several complex variables, Dynamical aspects of holomorphic foliations and vector fields, [MATH]Mathematics [math], Mathematics - Dynamical Systems, 0101 mathematics, Complex Variables (math.CV), Levi flat

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Access URL: http://arxiv.org/abs/2210.09273
https://zbmath.org/7730887
https://doi.org/10.1007/s12220-023-01385-9

Higher-dimensional foliated Mori theory

Authors: Spicer, Calum McKernan, James

Contributors: Spicer, Calum McKernan, James

Source: Spicer, C 2020, ' Higher-dimensional foliated Mori theory ', COMPOSITIO MATHEMATICA, vol. 156, no. 1, pp. 1-38 . https://doi.org/10.1112/S0010437X19007681

Subject Terms: Kleiman-Mori cone, 4. Education, Dynamical Systems (math.DS), minimal model program, 16. Peace & justice, 01 natural sciences, Dynamical Systems, Foliations, foliation singularities, Minimal model program, Mathematics - Algebraic Geometry, Singularities of holomorphic vector fields and foliations, FOS: Mathematics, Foliation singularities, Dynamical aspects of holomorphic foliations and vector fields, Mathematics - Dynamical Systems, 0101 mathematics, Minimal model program (Mori theory, extremal rays), Algebraic Geometry, Birational Geometry, Algebraic Geometry (math.AG), Mathematics, foliations

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Access URL: https://escholarship.org/content/qt6b09m4t1/qt6b09m4t1.pdf?t=osb2rw
http://arxiv.org/abs/1709.06850
https://zbmath.org/7132579
https://doi.org/10.1112/s0010437x19007681
https://www.cambridge.org/core/journals/compositio-mathematica/article/abs/higherdimensional-foliated-mori-theory/295A8A72D85706EDB70DA84790DA1C4E
https://escholarship.org/uc/item/6b09m4t1
https://escholarship.org/content/qt6b09m4t1/qt6b09m4t1.pdf?t=osb2rw
https://arxiv.org/pdf/1709.06850.pdf
https://arxiv.org/abs/1709.06850
https://ui.adsabs.harvard.edu/abs/2017arXiv170906850S/abstract
https://kclpure.kcl.ac.uk/ws/files/131266817/Higher_dimensional_SPICER_Accepted_26_Jun_19_GREEN_AAM.pdf

Local polar invariants for plane singular foliations

Authors: Cano, Felipe Corral Pérez, Nuria Mol, Rogério et al.

Contributors: Cano, Felipe Corral Pérez, Nuria Mol, Rogério et al.

Source: Expositiones Mathematicae, 2019, 37(2), 145-164
UCrea Repositorio Abierto de la Universidad de Cantabria
Universidad de Cantabria (UC)

Subject Terms: Polar curves, holomorphic foliations, Dynamical Systems (math.DS), Invariant curves, 01 natural sciences, polar curves, invariant curves, Complex vector fields, holomorphic foliations, \(\mathbb{C}\)-actions, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Singularities of holomorphic vector fields and foliations, 32S65, 14C21, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Mathematics - Dynamical Systems, 0101 mathematics, Holomorphic foliation

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Access URL: http://arxiv.org/pdf/1508.06882
http://arxiv.org/abs/1508.06882
https://hdl.handle.net/10902/34948
https://zbmath.org/7100299
https://doi.org/10.1016/j.exmath.2018.01.003
https://ui.adsabs.harvard.edu/abs/2015arXiv150806882C/abstract
https://www.sciencedirect.com/science/article/pii/S0723086918300033

Hypersurfaces quasi-invariant by codimension one foliations

Authors: Jorge Vitório Pereira Calum Spicer

Source: Pereira, J V & Spicer, C 2019, ' Hypersurfaces quasi-invariant by codimension one foliations ', Mathematische Annalen, vol. 2020, 378, pp. 613–635 . https://doi.org/10.1007/s00208-019-01833-4

Subject Terms: Darboux-Jouanolou theorem, Dynamical Systems (math.DS), 16. Peace & justice, Mathematics - Algebraic Geometry, rational maps, Complex vector fields, holomorphic foliations, \(\mathbb{C}\)-actions, Foliations (differential geometric aspects), FOS: Mathematics, Foliations in differential topology, geometric theory, Dynamical aspects of holomorphic foliations and vector fields, Mathematics - Dynamical Systems, Minimal model program (Mori theory, extremal rays), Algebraic Geometry (math.AG), foliations

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Access URL: https://link.springer.com/content/pdf/10.1007/s00208-019-01833-4.pdf
http://arxiv.org/abs/1804.08165
https://zbmath.org/7250839
https://doi.org/10.1007/s00208-019-01833-4
https://link.springer.com/article/10.1007/s00208-019-01833-4
https://ui.adsabs.harvard.edu/abs/2018arXiv180408165V/abstract
https://link.springer.com/content/pdf/10.1007/s00208-019-01833-4.pdf
https://kclpure.kcl.ac.uk/ws/files/128031815/Hypersurfaces_quasi_invariant_PEREIRA_Accepted_1_Jan_19_GOLD_VoR.pdf
https://kclpure.kcl.ac.uk/en/publications/7fc00636-1eda-435e-a8de-c27e9796d3ee

Real analytic vector fields with first integral and separatrices

Authors: Rogério Mol Fernando Sanz Sánchez

Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 113:4031-4049

Subject Terms: first integral, 32S65, 37F75, 34Cxx, 14P15, Singularities of holomorphic vector fields and foliations, formal and analytic separatrix, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, index of vector fields, Dynamical Systems (math.DS), real analytic vector field, reduction of singularities, Mathematics - Dynamical Systems

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Access URL: http://arxiv.org/pdf/1805.05310
http://arxiv.org/abs/1805.05310
https://zbmath.org/7124414
https://doi.org/10.1007/s13398-019-00639-y
http://ui.adsabs.harvard.edu/abs/2018arXiv180505310M/abstract
https://link.springer.com/article/10.1007/s13398-019-00639-y

Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four

Authors: Pereira, Jorge Vitório

Source: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 113:3921-3929

Subject Terms: Mathematics - Complex Variables, non-dicritical singularities, Continuation of analytic objects in several complex variables, 37F75, 32D15, 01 natural sciences, Mathematics - Algebraic Geometry, Mathematics - Classical Analysis and ODEs, Foliations (differential geometric aspects), algebraic separatrices, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Complex Variables (math.CV), 0101 mathematics, extension of subvarieties, Algebraic Geometry (math.AG), foliations

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Access URL: http://arxiv.org/pdf/1801.03280
http://arxiv.org/abs/1801.03280
https://link.springer.com/article/10.1007/s13398-018-0569-x

Second type foliations of codimension one

Authors: Gilberto Cuzzuol Rogério Mol

Source: Boletín de la Sociedad Matemática Mexicana. 25:619-635

Subject Terms: invariant varieties, Mathematics - Complex Variables, Singularities of holomorphic vector fields and foliations, desingularization, 32S65, 37F75, holomorphic foliations, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Complex Variables (math.CV)

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Access URL: http://arxiv.org/pdf/1708.00708
http://arxiv.org/abs/1708.00708
https://zbmath.org/7137975
https://doi.org/10.1007/s40590-018-0207-9
https://dialnet.unirioja.es/servlet/articulo?codigo=7198941
https://link.springer.com/article/10.1007/s40590-018-0207-9

Dicritical nilpotent holomorphic foliations

Authors: Jorge Mozo-Fernández Percy Fernández-Sánchez Hernán Neciosup

Source: Discrete & Continuous Dynamical Systems - A. 38:3223-3237

Subject Terms: Singularities of holomorphic vector fields and foliations, holomorphic foliations, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, dicritical foliations, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://www.aimsciences.org/article/exportPdf?id=fd44c052-29c4-4805-b13e-0f89a4d72ae4
http://arxiv.org/abs/1703.10749
https://zbmath.org/6919375
https://doi.org/10.3934/dcds.2018140
https://www.aimsciences.org/article/doi/10.3934/dcds.2018140
https://www.aimsciences.org/article/exportPdf?id=fd44c052-29c4-4805-b13e-0f89a4d72ae4

Differentiable equisingularity of holomorphic foliations

Authors: Rogério Mol Rudy Rosas

Source: Journal of Singularities.

Subject Terms: invariant curves, Singularities of holomorphic vector fields and foliations, holomorphic foliations, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, equidesingularization, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, vector fields, 01 natural sciences, 32S65

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Access URL: http://arxiv.org/pdf/1611.03004
http://arxiv.org/abs/1611.03004
https://zbmath.org/7116325
https://doi.org/10.5427/jsing.2019.19f

Uniformizing complex ODEs and applications

Authors: Rebelo, Julio Reis, Helena Institut de Mathématiques de Toulouse UMR5219 (IMT) et al.

Contributors: Rebelo, Julio Reis, Helena Institut de Mathématiques de Toulouse UMR5219 (IMT) et al.

Source: Revista Matemática Iberoamericana. 30:799-874

Subject Terms: maximal domain of solutions, Mathematics - Complex Variables, [MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM], Dynamical Systems (math.DS), 01 natural sciences, [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM], Mathematics - Classical Analysis and ODEs, 13. Climate action, Painlevé and other special ordinary differential equations in the complex domain, classification, hierarchies, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Entire and meromorphic solutions to ordinary differential equations in the complex domain, Mathematics - Dynamical Systems, Complex Variables (math.CV), 0101 mathematics, complex ODE, entire solutions, Halphen equations

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Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=30&iss=3&rank=2
http://arxiv.org/abs/1111.2365
http://www.ems-ph.org/doi/10.4171/RMI/800
https://dialnet.unirioja.es/servlet/articulo?codigo=4881147
https://www.ems-ph.org/journals/show_pdf.php?issn=0213-2230&vol=30&iss=3&rank=2

On codimension one foliations with prescribed cuspidal separatrix

Authors: Hernán Neciosup Jorge Mozo-Fernández Percy Fernández-Sánchez

Source: Journal of Differential Equations. 256:1702-1717

Subject Terms: Complex vector fields, holomorphic foliations, \(\mathbb{C}\)-actions, 13. Climate action, Singularities of holomorphic vector fields and foliations, 0103 physical sciences, holomorphic foliations, FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 37F75, 32S65, 0101 mathematics, singularities, 01 natural sciences

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Access URL: http://arxiv.org/abs/1306.4695
https://zbmath.org/6265982
https://doi.org/10.1016/j.jde.2013.12.002
https://ui.adsabs.harvard.edu/abs/2013arXiv1306.4695F/abstract
http://www.sciencedirect.com/science/article/pii/S0022039613004968
https://www.sciencedirect.com/science/article/pii/S0022039613004968

Discrete derived categories II: the silting pairs CW complex and the stability manifold: Topological aspects of completely integrable foliations

Authors: Broomhead, Nathan Pauksztello, David Ploog, David

Source: Journal of the London Mathematical Society. 93:273-300

Subject Terms: Dynamical Systems (math.DS), 16. Peace & justice, 7. Clean energy, 01 natural sciences, Mathematics - Algebraic Geometry, 18E30, 05E10, 13. Climate action, Singularities of vector fields, topological aspects, Singularities of holomorphic vector fields and foliations, 8. Economic growth, FOS: Mathematics, Mathematics - Combinatorics, Dynamical aspects of holomorphic foliations and vector fields, Combinatorics (math.CO), Mathematics - Dynamical Systems, Representation Theory (math.RT), 0101 mathematics, Algebraic Geometry (math.AG), Mathematics - Representation Theory

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Access URL: http://arxiv.org/pdf/1209.2956
http://arxiv.org/abs/1209.2956
http://arxiv.org/abs/1407.5944
https://zbmath.org/6292836
https://doi.org/10.1112/jlms/jdt069
https://arxiv.org/abs/1209.2956
https://arxiv.org/pdf/1209.2956
https://128.84.21.199/abs/1209.2956
https://academic.oup.com/jlms/article/89/2/415/833460
https://dialnet.unirioja.es/servlet/articulo?codigo=4675023
https://dblp.uni-trier.de/db/journals/jlms/jlms89.html#PinheiroR14
http://ui.adsabs.harvard.edu/abs/2012arXiv1209.2956P/abstract
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/jdt069
https://doi.org/10.1112/jlms/jdt069

Classification of absolutely dicritical foliations of cusp type: Classification of absolutely dicritical foliations of CUSP type

Authors: Genzmer, Yohann Institut de Mathématiques de Toulouse UMR5219 (IMT) Université Toulouse Capitole (UT Capitole) et al.

Contributors: Genzmer, Yohann Institut de Mathématiques de Toulouse UMR5219 (IMT) Université Toulouse Capitole (UT Capitole) et al.

Source: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Publicacions Matemàtiques; Vol. 57, Núm. 2 (2013); p. 333-357
Publ. Mat. 57, no. 2 (2013), 333-357

Subject Terms: 37F75, Dedekind group, Mathematics - Complex Variables, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], Dynamical Systems (math.DS), singularity, 01 natural sciences, Foliations, 34M35, foliation, Foliations (differential geometric aspects), [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, Dynamical aspects of holomorphic foliations and vector fields, Dicritical singularities, Mathematics - Dynamical Systems, Complex Variables (math.CV), 0101 mathematics, Dicritical singularities, foliation, singularities, foliations

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/pdf/1203.1598
http://arxiv.org/abs/1203.1598
https://ddd.uab.cat/record/107334
http://hdl.handle.net/2072/399240
https://ddd.uab.cat/record/107334?ln=es
https://projecteuclid.org/download/pdf_1/euclid.pm/1386857699
https://hal.archives-ouvertes.fr/hal-00676885
https://hal.archives-ouvertes.fr/hal-00676885/document
https://ddd.uab.cat/pub/pubmat/pubmat_a2013v57n2/pubmat_a2013v57n2p333.pdf
https://ui.adsabs.harvard.edu/abs/2012arXiv1203.1598G/abstract
https://hal.science/hal-00676885v1/document
https://hal.science/hal-00676885v1
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_57213_03
http://projecteuclid.org/euclid.pm/1386857699

A Fatou type theorem for complex map germs

Authors: Leonardo Câmara Bruno Scárdua

Source: Conformal Geometry and Dynamics of the American Mathematical Society. 16:256-268

Subject Terms: 0403 veterinary science, parabolic curve, formal separatrix, Singularities of holomorphic vector fields and foliations, Dynamical systems over complex numbers, complex diffeomorphism germ, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Dynamical aspects of holomorphic foliations and vector fields, 04 agricultural and veterinary sciences, 0101 mathematics, 01 natural sciences, Dynamics of complex polynomials, rational maps, entire and meromorphic functions, Fatou and Julia sets

File Description: application/xml

Access URL: https://www.ams.org/ecgd/2012-16-13/S1088-4173-2012-00242-1/S1088-4173-2012-00242-1.pdf
https://zbmath.org/6199196
https://doi.org/10.1090/s1088-4173-2012-00242-1
https://www.ams.org/journals/ecgd/2012-16-13/S1088-4173-2012-00242-1/home.html
https://www.ams.org/ecgd/2012-16-13/S1088-4173-2012-00242-1/S1088-4173-2012-00242-1.pdf

Codimension one holomorphic foliations on $${\mathbb P^n_{\mathbb C}}$$ : problems in complex geometry: Codimension one holomorphic foliations on \({\mathbb P^n_{\mathbb C}}\): problems in complex geometry

Authors: Cerveau, Dominique Guillemer, Marie-Annick Institut de Recherche Mathématique de Rennes (IRMAR) et al.

Contributors: Cerveau, Dominique Guillemer, Marie-Annick Institut de Recherche Mathématique de Rennes (IRMAR) et al.

Source: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 107:69-77

Subject Terms: 37F75, algebraic foliations, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], FOS: Mathematics, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Projective differential geometry, Dynamical aspects of holomorphic foliations and vector fields, Dynamical Systems (math.DS), reduction of singularities, Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://arxiv.org/pdf/1201.6165
http://arxiv.org/abs/1201.6165
https://hal.archives-ouvertes.fr/hal-00763890
https://link.springer.com/article/10.1007/s13398-012-0087-1
https://link.springer.com/10.1007/s13398-012-0087-1
https://hal.science/hal-00763890v1
https://doi.org/10.1007/s13398-012-0087-1

Real logarithmic models for real analytic foliations in the plane: Real logarithmic models for real analytic foliations in~the~plane

Authors: Fernando Sanz Nuria Corral

Source: Revista Matemática Complutense. 25:109-124

Subject Terms: center-focus plane vector fields, resonance, logarithmic foliations, Singularities of holomorphic vector fields and foliations, Foliations (differential geometric aspects), 0103 physical sciences, Foliations in differential topology, geometric theory, Dynamical aspects of holomorphic foliations and vector fields, dicritical foliations, 0101 mathematics, singular holomorphic foliation, 01 natural sciences, generalized curves

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s13163-011-0060-0
https://dialnet.unirioja.es/servlet/articulo?codigo=4122050
https://link.springer.com/content/pdf/10.1007%2Fs13163-011-0060-0.pdf