Suchergebnisse - Picard-type theorems and generalizations for several complex variables

Theorems of Picard type for entire functions of several complex variables

Autoren: Lu, Jin

Quelle: Kodai Math. J. 26, no. 2 (2003), 221-229

Schlagwörter: total derivative, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, Value distribution theory in higher dimensions, theorem of Picard type, 01 natural sciences, entire function of several variables

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/2076059
https://doi.org/10.2996/kmj/1061901063
https://projecteuclid.org/journals/kodai-mathematical-journal/volume-26/issue-2/Theorems-of-Picard-type-for-entire-functions-of-several-complex/10.2996/kmj/1061901063.full
https://projecteuclid.org/download/pdf_1/euclid.kmj/1061901063
http://projecteuclid.org/euclid.kmj/1061901063

A Picard Type Theorem for Holomorphic Curves: A Picard type theorem for holomorphic curves

Autoren: Alexandre Eremenko

Quelle: Periodica Mathematica Hungarica. 38:39-42

Schlagwörter: holomorphic curves, Analytic subsets and submanifolds, Picard-type theorems and generalizations for several complex variables, Picard type theorem, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1404407
https://doi.org/10.1023/a:1004794914744
https://www.math.purdue.edu/~eremenko/dvi/picard.pdf
https://link.springer.com/content/pdf/10.1023/A:1004794914744.pdf
https://link.springer.com/article/10.1023/A%3A1004794914744

Extension and Convergence Theorems for Families of Normal Maps in Several Complex Variables

Autoren: Joseph, James E. Kwack, Myung H.

Quelle: Proceedings of the American Mathematical Society, 1997 Jun 01. 125(6), 1675-1684.

Zugangs-URL: https://www.jstor.org/stable/2162207

A nullset for normal functions in several variables

Autoren: Juhani Riihentaus

Quelle: Proceedings of the American Mathematical Society. 110:923-933

Schlagwörter: Special families of functions of several complex variables, normal crossings, 4. Education, Meromorphic functions of several complex variables, Picard-type theorems and generalizations for several complex variables, Normal functions of one complex variable, normal families, 0101 mathematics, analytic sub-variety, 01 natural sciences, locally finite dimensional Hausdorff measure

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/1990-110-04/S0002-9939-1990-1028048-0/S0002-9939-1990-1028048-0.pdf
https://www.ams.org/journals/proc/1990-110-04/S0002-9939-1990-1028048-0/home.html
https://www.ams.org/proc/1990-110-04/S0002-9939-1990-1028048-0/S0002-9939-1990-1028048-0.pdf

Asymptotic Behavior of Normal Mappings of Several Complex Variables: Asymptotic behavior of normal mappings of several complex variables

Autoren: Kyong T. Hahn

Quelle: Canadian Journal of Mathematics. 36:718-746

Schlagwörter: Bloch function, Picard-type theorems and generalizations for several complex variables, hyperbolic manifold, Boundary behavior of holomorphic functions of several complex variables, Normal analytic spaces, 16. Peace & justice, 01 natural sciences, Hyperbolic and Kobayashi hyperbolic manifolds, Hermitian manifold, holomorphic mappings, normal function, Other generalizations of function theory of one complex variable, Normal functions of one complex variable, normal families, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3899274
https://doi.org/10.4153/cjm-1984-041-9
https://cms.math.ca/10.4153/CJM-1984-041-9
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0008414X00021775

Aspects of value distribution theory in several complex variables

Autoren: Stoll, Wilhelm

Quelle: Bull. Amer. Math. Soc. 83, no. 2 (1977), 166-183

Schlagwörter: 32H99, Holomorphic mappings and correspondences, 32H25, Picard-type theorems and generalizations for several complex variables, 32F99, 0101 mathematics, Geometric convexity in several complex variables, 01 natural sciences, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.ams.org/bull/1977-83-02/S0002-9904-1977-14247-X/S0002-9904-1977-14247-X.pdf
https://zbmath.org/3536427
https://doi.org/10.1090/s0002-9904-1977-14247-x
https://www.ams.org/journals/bull/1977-83-02/S0002-9904-1977-14247-X/home.html
https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-83/issue-2/Aspects-of-value-distribution-theory-in-several-complex-variables/bams/1183538660.full
https://projecteuclid.org/download/pdf_1/euclid.bams/1183538660
https://www.ams.org/bull/1977-83-02/S0002-9904-1977-14247-X/S0002-9904-1977-14247-X.pdf
http://projecteuclid.org/euclid.bams/1183538660

Picard theorem of several complex variables

Autoren: Zhou, Zehua

Schlagwörter: Picard theorem, Picard-type theorems and generalizations for several complex variables, \(K\)-quasimeromorphic function, Other generalizations of function theory of one complex variable, Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.), Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, normal family, normality criteria

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1370531

Rigid analytic Picard theorems

Autoren: William Cherry Min Ru

Quelle: American Journal of Mathematics. 126:873-889

Schlagwörter: little Picard type theorem, Nevanlinna theory, big Picard type theorem, Picard-type theorems and generalizations for several complex variables, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2114627
https://doi.org/10.1353/ajm.2004.0025
https://documat.unirioja.es/servlet/articulo?codigo=956838
https://dialnet.unirioja.es/servlet/articulo?codigo=956838

A proof of the generalized Picard's little theorem using matrices

Autoren: Wayne W. Chen

Quelle: Linear Algebra and its Applications. 214:187-192

Schlagwörter: complex projective space, Numerical Analysis, Picard's Little Theorem, Algebra and Number Theory, holomorphic map, Picard-type theorems and generalizations for several complex variables, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, 01 natural sciences, matrix technique

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/731879
https://doi.org/10.1016/0024-3795(93)00065-8
https://core.ac.uk/display/82390788
https://www.sciencedirect.com/science/article/pii/0024379593000658
https://www.sciencedirect.com/science/article/abs/pii/0024379593000658

Hyperbolicity of the complement of a generic smooth curve of high degree in the complex projective plane

Autoren: Yum-Tong Siu Sai-Kee Yeung

Quelle: Inventiones Mathematicae. 124:573-618

Schlagwörter: Picard theorem, 0103 physical sciences, Picard-type theorems and generalizations for several complex variables, complex projective curve, generic smooth curve, 0101 mathematics, 01 natural sciences, Hyperbolic and Kobayashi hyperbolic manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/866103
https://doi.org/10.1007/s002220050064
https://link.springer.com/content/pdf/10.1007/s002220050064.pdf
http://ui.adsabs.harvard.edu/abs/1996InMat.124..573S/abstract
https://link.springer.com/article/10.1007%2Fs002220050064

A generalization of the big Picard theorem

Autoren: Adachi, Yukinobu

Quelle: Kodai Math. J. 18, no. 3 (1995), 408-424

Schlagwörter: analytic set, Picard theorem, holomorphic map, irreducible component of a curve, 32H25, Picard-type theorems and generalizations for several complex variables, 0101 mathematics, pseudodistance, 01 natural sciences, Invariant metrics and pseudodistances in several complex variables

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://projecteuclid.org/download/pdf_1/euclid.kmj/1138043480
http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.kmj/1138043480&page=record
https://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.kmj/1138043480&page=record
http://projecteuclid.org/euclid.kmj/1138043480

Picard-type theorems for holomorphic mappings

Autoren: V. A. Babets

Quelle: Siberian Mathematical Journal. 25:195-200

Schlagwörter: Entire functions of one complex variable (general theory), Picard-type theorems, degeneracy of holomorphic mappings at a point, Holomorphic mappings and correspondences, Picard-type theorems and generalizations for several complex variables, divisor with normal intersection, Divisors, linear systems, invertible sheaves, 0101 mathematics, logarithmic differentials, Curves in algebraic geometry, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3927367
https://doi.org/10.1007/bf00971456
https://link.springer.com/article/10.1007%2FBF00971456
https://link.springer.com/content/pdf/10.1007/BF00971456.pdf

Normality criteria for families of holomorphic mappings of several complex variables into \(P^N(\mathbb{C})\)

Autoren: Tu, Zhen-han

Schlagwörter: Nevanlinna theory, Picard-type theorems and generalizations for several complex variables, heuristic principle, complex projective spaces, normal families, Picard type theorems, Montel normality criteria, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Special families of functions of several complex variables, holomorphic mappings, hyperplanes in general position, Normal functions of one complex variable, normal families, hyperplanes, Value distribution theory in higher dimensions

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1245428

Extensions of holomorphic maps through hypersurfaces and relations to the Hartogs extensions in infinite dimension

Autoren: Nguyen Thai Son Do Duc Thai

Quelle: Proceedings of the American Mathematical Society. 128:745-754

Schlagwörter: Banach analytic manifolds and spaces, Picard-type theorems and generalizations for several complex variables, Continuation of analytic objects in several complex variables, Non-Archimedean analysis, 0101 mathematics, Holomorphically convex complex spaces, reduction theory, Envelopes of holomorphy, pseudoconvex domain, hyperbolic Banach analytic space, 01 natural sciences, Hyperbolic and Kobayashi hyperbolic manifolds, Questions of holomorphy and infinite-dimensional manifolds, Hartogs extension property

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2000-128-03/S0002-9939-99-05033-9/S0002-9939-99-05033-9.pdf
https://www.ams.org/journals/proc/2000-128-03/S0002-9939-99-05033-9/home.html
https://www.ams.org/proc/2000-128-03/S0002-9939-99-05033-9/S0002-9939-99-05033-9.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=701870

On meromorphically normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\).

Autoren: Tu, Zhenhan

Schlagwörter: meromorphic mappings, hyperplanes in general position, Meromorphic functions of several complex variables, Picard-type theorems and generalizations for several complex variables, extension theorems, meromorphic normality criteria, non-negative divisors, complex projective spaces, normal families, Picard type theorems, Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.)

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1733391

Hyperbolic imbedding and spaces of continuous extensions of holomorphic maps

Autoren: James E. Joseph Myung H. Kwack

Quelle: The Journal of Geometric Analysis. 4:361-378

Schlagwörter: Kobayashi-Royden pseudometric, hyperbolically imbedded complex space, hyperbolic point, Picard-type theorems and generalizations for several complex variables, divisor with normal crossings, Kobayashi pseudodistance, 0101 mathematics, 01 natural sciences, Invariant metrics and pseudodistances in several complex variables, Hyperbolic and Kobayashi hyperbolic manifolds, Extension of maps

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/653343
https://doi.org/10.1007/bf02921586
https://link.springer.com/article/10.1007%2FBF02921586
https://link.springer.com/content/pdf/10.1007/BF02921586.pdf

On $\mathbb{D}^*$-extension property of the Hartogs domains: On \(\mathbb{D}^*\)-extension property of the Hartogs domains

Autoren: Thái, D. Thomas, Pascal J. Hanoi National University of Education (HNUE) et al.

Weitere Verfasser: Thái, D. Thomas, Pascal J. Hanoi National University of Education (HNUE) et al.

Quelle: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Publicacions Matemàtiques; Vol. 45, Núm. 2 (2001); p. 421-429

Schlagwörter: removable singularities, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Picard-type theorems and generalizations for several complex variables, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], 01 natural sciences, extension through pluripolar sets, Hyperbolic and Kobayashi hyperbolic manifolds, \(\mathbb{D}^*\)-extension property, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], Removable singularities in several complex variables, Kontinuitätssatz, Hartogs domain, 0101 mathematics, Kobayashi hyperbolicity

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://raco.cat/index.php/PublicacionsMatematiques/article/download/38024/40298
http://hdl.handle.net/2072/379981
https://ddd.uab.cat/record/1969
https://dialnet.unirioja.es/servlet/articulo?codigo=120886
https://ddd.uab.cat/pub/pubmat/02141493v45n2/02141493v45n2p421.pdf
https://eudml.org/doc/41436
http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_45201_07
http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/38024

An application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter

Autoren: Mori, Seiki

Quelle: Kodai Math. J. 7, no. 1 (1984), 56-60

Schlagwörter: holomorphic map, 0103 physical sciences, Picard-type theorems and generalizations for several complex variables, 32H30, 0101 mathematics, degenerate, 32A22, hypersurface, 01 natural sciences, Nevanlinna's lemma on logarithmic derivatives

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://projecteuclid.org/journals/kodai-mathematical-journal/volume-7/issue-1/An-application-of-the-lemma-on-the-logarithmic-derivative-in/10.2996/kmj/1138036855.pdf
https://projecteuclid.org/download/pdf_1/euclid.kmj/1138036855
https://projecteuclid.org/euclid.kmj/1138036855
http://projecteuclid.org/euclid.kmj/1138036855

Boundary behavior of normal holomorphic functions of several complex variables

Autoren: Dovbush, P. V.

Schlagwörter: Special families of functions of several complex variables, Holomorphic functions of several complex variables, Fatou points, normal function, strictly pseudoconvex bounded domain, Picard-type theorems and generalizations for several complex variables, Boundary behavior of holomorphic functions of several complex variables, Invariant metrics and pseudodistances in several complex variables, P-sequence for holomorphic function

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3842238

Cylinders over affine surfaces

Autoren: Tatiana Bandman Leonid Makar-Limanov

Quelle: Japanese journal of mathematics. New series. 26:207-217

Schlagwörter: Mathematics - Algebraic Geometry, affine surface, FOS: Mathematics, Picard-type theorems and generalizations for several complex variables, nilpotent derivation, 0101 mathematics, Nevanlinna theory, growth estimates, other inequalities of several complex variables, Affine fibrations, Value distribution theory in higher dimensions, Algebraic Geometry (math.AG), 01 natural sciences, absolute constants

Dateibeschreibung: application/xml

Zugangs-URL: https://www.jstage.jst.go.jp/article/math1924/26/1/26_1_207/_pdf
http://arxiv.org/abs/math/9807146
https://zbmath.org/1845248
https://ui.adsabs.harvard.edu/abs/1998math......7146B/abstract
http://ci.nii.ac.jp/naid/10004590420