Výsledky vyhledávání - "Modular and Shimura varieties"

On Drinfeld modular forms of higher rank VII: Expansions at the boundary: On Drinfeld modular forms of higher rank. VII: Expansions at the boundary

Autoři: Ernst-Ulrich Gekeler

Zdroj: Journal of Number Theory. 269:260-340

Témata: ddc:510, Mathematics - Number Theory, Modular forms associated to Drinfel'd modules, Boundary behavior, Fine and coarse moduli spaces, Rigid analytic geometry, discriminant forms, 11F52, 11G18, Drinfeld modular forms, boundary behavior, Discriminant forms, product formulas, Eisenstein series, Elliptic and modular units, FOS: Mathematics, Number Theory (math.NT), Arithmetic aspects of modular and Shimura varieties, Product formulas

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2311.02131
https://zbmath.org/7963885
https://doi.org/10.1016/j.jnt.2024.09.015

Ogg’s torsion conjecture: Fifty years later: Ogg's torsion conjecture: fifty years later

Autoři: Balakrishnan, Jennifer S. Mazur, Barry

Zdroj: Bulletin of the American Mathematical Society. 62:235-268

Témata: Mathematics - Algebraic Geometry, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Arithmetic aspects of modular and Shimura varieties, Algebraic Geometry (math.AG)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2307.04752

Control theorems for Hilbert modular varieties

Autoři: Sheth, Arshay

Zdroj: Canadian Mathematical Bulletin

Témata: Mathematics - Number Theory, control theorems, Hida theory, FOS: Mathematics, Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, Number Theory (math.NT), Arithmetic aspects of modular and Shimura varieties, Hilbert modular varieties

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2403.04738

Modular curves with many points over finite fields

Autoři: Dose, Valerio Lido, Guido Mercuri, Pietro a další

Přispěvatelé: Dose, Valerio Lido, Guido Mercuri, Pietro a další

Zdroj: Journal of Algebra. 635:790-821

Témata: Modular curve, points over finite fields, Mathematics - Number Theory, Settore MATH-02/A - Algebra, Finite field, many points, finite fields, modular curves, Chen's isogeny, Cartan subgroups, Hecke operators, 01 natural sciences, Modular and Shimura varieties, Settore MAT/03, Settore MAT/02, Curves over finite and local fields, Many points, Finite fields, Modular curves, Settore MATH-02/B - Geometria, Many point, Cartan subgroup, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/1603.07489

Irregular cusps of orthogonal modular varieties

Autoři: Ma, Shouhei

Zdroj: Canadian Journal of Mathematics. 77:739-769

Témata: Mathematics - Number Theory, irregular cusp, orthogonal modular variety, Kodaira dimension, 14G35, 11F55, Other groups and their modular and automorphic forms (several variables), toroidal compactification, 01 natural sciences, Modular and Shimura varieties, Mathematics - Algebraic Geometry, 0103 physical sciences, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Algebraic Geometry (math.AG)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2101.02950

H 0 of Igusa varieties via automorphic forms: \(H^0\) of Igusa varieties via automorphic forms

Autoři: Kret, Arno Shin, Sug Woo

Zdroj: Journal de l’École polytechnique — Mathématiques. 10:1299-1390

Témata: Mathematics - Algebraic Geometry, Shimura varieties, Mathematics - Number Theory, automorphic representations, FOS: Mathematics, Igusa varieties, Number Theory (math.NT), Representation Theory (math.RT), Arithmetic aspects of modular and Shimura varieties, Algebraic Geometry (math.AG), trace formula, Mathematics - Representation Theory, central leaves

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2102.10690
https://zbmath.org/7760570
https://doi.org/10.5802/jep.246

Rational points on Atkin–Lehner quotients of geometrically hyperelliptic Shimura curves: Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves

Autoři: Padurariu, Oana Schembri, Ciaran

Zdroj: Expositiones Mathematicae. 41:492-513

Témata: Abelian varieties of dimension \(> 1\), Mathematics - Number Theory, FOS: Mathematics, Complex multiplication and moduli of abelian varieties, Shimura curves, Rational points, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, 01 natural sciences, rational points

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2212.04553
https://zbmath.org/7745034
https://doi.org/10.1016/j.exmath.2023.02.005

Rings of Siegel–Jacobi forms of bounded relative index are not finitely generated: Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated

Autoři: Botero, A.M. Burgos, G.J.I. Holmes, D.S.T. a další

Zdroj: Duke Mathematical Journal. 173

Témata: mixed Shimura varieties, Mathematics - Number Theory, 14C20, 11F50, 32U05, 14J15, Okounkov bodies, Psh metrics, Moduli, classification: analytic theory, relations with modular forms, Siegel-Jacobi forms, 01 natural sciences, Mixed Shimura varieties, Modular and Shimura varieties, Mathematics - Algebraic Geometry, Siegel–Jacobi forms, psh metrics, b-divisors, Jacobi forms, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Number Theory (math.NT), 0101 mathematics, Plurisubharmonic functions and generalizations, Algebraic Geometry (math.AG)

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2203.14583
https://hdl.handle.net/1887/4172822

Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6

Autoři: Boya Wen Timo Keller Shiva Chidambaram a další

Zdroj: Acta Arithmetica. 208:15-49

Témata: Curves of arbitrary genus or genus 6= 1 over global fields, arithmetic aspects of modular and Shimura varieties, Rational points

Přístupová URL adresa: https://arxiv.org/abs/2105.04811
https://doi.org/10.4064/aa220110-7-3

Plectic Galois action on CM points and connected components of Hilbert modular varieties

Autoři: Leonhardt, Marius

Zdroj: Bulletin of the London Mathematical Society. 54:2254-2277

Témata: Mathematics - Algebraic Geometry, Mathematics - Number Theory, FOS: Mathematics, 11G15, 14G35, Complex multiplication and moduli of abelian varieties, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, Hilbert modular varieties, Algebraic Geometry (math.AG), 01 natural sciences, plectic Galois action, Modular and Shimura varieties

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2001.11097
https://zbmath.org/7740272
https://doi.org/10.1112/blms.12692

ON THE GEOMETRY OF THE PAPPAS–RAPOPORT MODELS FOR PEL SHIMURA VARIETIES: On the geometry of the Pappas-Rapoport models for PEL Shimura varieties

Autoři: Stéphane Bijakowski Valentin Hernandez

Zdroj: Journal of the Institute of Mathematics of Jussieu. 22:2403-2445

Témata: Mathematics - Number Theory, Formal groups, \(p\)-divisible groups, 01 natural sciences, Modular and Shimura varieties, Mathematics - Algebraic Geometry, integral models of Shimura varieties, Shimura varieties, Newton stratification, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, \(p\)-divisible groups, Algebraic Geometry (math.AG)

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2010.16329
https://zbmath.org/7727453
https://doi.org/10.1017/s1474748022000019

Families of coherent PEL automorphic forms

Autoři: Hernandez, Valentin

Zdroj: Documenta Mathematica. 27:213-294

Témata: \(L\)-functions of varieties over global fields, Birch-Swinnerton-Dyer conjecture, Algebraic moduli of abelian varieties, classification, Mathematics - Number Theory, Formal groups, \(p\)-divisible groups, Other groups and their modular and automorphic forms (several variables), Rigid analytic geometry, eigenvarieties, automorphic forms, 01 natural sciences, Congruences for modular and \(p\)-adic modular forms, Modular and Shimura varieties, Shimura varieties, FOS: Mathematics, Bloch-Kato conjecture, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, \(p\)-divisible groups

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1909.06127

Independence of CM points in elliptic curves

Autoři: Pila, J Tsimerman, J

Zdroj: Journal of the European Mathematical Society. 24:3161-3182

Témata: Mathematics - Number Theory, Mathematics - Logic, 01 natural sciences, Modular and Shimura varieties, Heegner point, Mathematics - Algebraic Geometry, Elliptic curves over global fields, Zilber-Pink conjecture, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, unlikely intersection, Logic (math.LO), Algebraic Geometry (math.AG), 11G18, Model theory of ordered structures, o-minimality

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1907.02737
https://zbmath.org/7533986
https://doi.org/10.4171/jems/1161
https://www.ems-ph.org/journals/show_pdf.php?jrn=jems&doi=1161
https://ora.ox.ac.uk/objects/uuid:1992bdf9-4af5-4ed4-ad8b-956b72fa9049
https://ora.ox.ac.uk/objects/uuid:75a92861-c574-47dd-89a0-5d0b1ec497aa
https://ora.ox.ac.uk/objects/uuid:1992bdf9-4af5-4ed4-ad8b-956b72fa9049
https://doi.org/10.4171/jems/1161

Quadratic torsion subgroups of modular Jacobian varieties

Autoři: Yuan Ren

Zdroj: Israel Journal of Mathematics. 245:675-710

Témata: Abelian varieties of dimension \(> 1\), Mathematics - Number Theory, quadratic character, FOS: Mathematics, Number Theory (math.NT), Jacobians, Prym varieties, 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, 01 natural sciences, modular Jacobian varieties, Modular and Shimura varieties

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/1901.09896
http://arxiv.org/abs/1901.09896
https://link.springer.com/article/10.1007/s11856-021-2223-0

Difference of a Hauptmodul for Γ0(N) and certain Gross-Zagier type CM value formulas: Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas

Autoři: Dongxi Ye

Zdroj: Science China Mathematics. 65:221-258

Témata: Mathematics - Number Theory, monster denominator formula, 4. Education, Gross-Zagier CM value formula, Complex multiplication and moduli of abelian varieties, Automorphic forms on \(\mbox{GL}(2)\), Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms, Hilbert modular surfaces, modular forms for Weil representation, 16. Peace & justice, 01 natural sciences, Modular and Shimura varieties, Modular and automorphic functions, Borcherds product, 11F03, 11F11, 11F27, 11F41, 11G15, 11G18, FOS: Mathematics, Theta series, Weil representation, theta correspondences, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/1708.08783
https://zbmath.org/7484061
https://doi.org/10.1007/s11425-019-1830-3
https://link.springer.com/article/10.1007/s11425-019-1830-3

Intersection of class fields

Autoři: Kühne, Lars

Zdroj: Acta Arithmetica
Kühne, L 2021, ' Intersection of class fields ', Acta Arithmetica, vol. 198, no. 2, pp. 109-127 . https://doi.org/10.4064/aa180717-9-6

Témata: Mathematics - Number Theory, André-Oort conjecture, Elliptic curves over global fields, Heegner points, 11G05, 11R37 (primary), and 11G18, 14G35 (secondary), FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, Class field theory, class fields, 01 natural sciences, Modular and Shimura varieties

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/1709.00998
https://zbmath.org/7349951
https://doi.org/10.4064/aa180717-9-6
https://pure.mpg.de/pubman/item/item_3325366_2/component/file_3325367/1709.00998.pdf
https://arxiv.org/pdf/1709.00998
https://www.arxiv-vanity.com/papers/1709.00998/
http://hdl.handle.net/21.11116/0000-0008-ADF2-4
http://hdl.handle.net/21.11116/0000-0008-ADF4-2
http://hdl.handle.net/21.11116/0000-0008-ADF5-1
https://curis.ku.dk/ws/files/312759671/Intersection_of_class_fields.pdf

Gluing Karcher–Scherk saddle towers I: Triply periodic minimal surfaces: Gluing Karcher-Scherk saddle towers. I: Triply periodic minimal surfaces

Autoři: Hao Chen Martin Traizet

Zdroj: Journal für die reine und angewandte Mathematik (Crelles Journal). 0

Témata: Mathematics - Differential Geometry, Differential Geometry (math.DG), Minimal surfaces and optimization, FOS: Mathematics, 0101 mathematics, 53A10, 05C10, 01 natural sciences, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Modular and Shimura varieties

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2103.15676

Vanishing theorems for Shimura varieties at unipotent level

Autoři: Caraiani, A Gulotta, DR Johansson, C

Zdroj: Journal of the European Mathematical Society

Témata: Cohomology of arithmetic groups, Mathematics - Number Theory, perfectoid spaces, math.RT, Automorphic forms and their relations with perfectoid spaces, 01 natural sciences, Modular and Shimura varieties, math.NT, math.AG, Mathematics - Algebraic Geometry, locally symmetric spaces, \(p\)-adic automorphic forms, FOS: Mathematics, Perfectoid spaces and mixed characteristic, Number Theory (math.NT), Representation Theory (math.RT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, Algebraic Geometry (math.AG), Mathematics - Representation Theory

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/1910.09214
https://zbmath.org/7683502
https://doi.org/10.4171/jems/1195
http://hdl.handle.net/10044/1/77438
http://hdl.handle.net/21.11116/0000-000D-2CB1-A
http://hdl.handle.net/21.11116/0000-000A-E124-F
http://hdl.handle.net/21.11116/0000-000A-E126-D

Symmetric spaces uniformizing Shimura varieties in the Torelli locus

Autoři: Carolina Tamborini

Zdroj: Annali di Matematica Pura ed Applicata (1923 -). 201:2101-2119

Témata: Families, Jacobians, Modular and Shimura varieties, Moduli (analytic), Prym varieties, Mathematics - Algebraic Geometry, 14G35, 14H15, 14H40, FOS: Mathematics, 0101 mathematics, Algebraic Geometry (math.AG), 01 natural sciences

Popis souboru: application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/2010.13159
http://arxiv.org/abs/2010.13159
https://hdl.handle.net/10281/518339
https://doi.org/10.1007/s10231-022-01193-y

Degree and height estimates for modular equations on PEL Shimura varieties

Autoři: Kieffer, Jean

Přispěvatelé: Kieffer, Jean

Zdroj: Journal of the London Mathematical Society. 105:1314-1361

Témata: Modular correspondences, etc, Mathematics - Number Theory, Modular equations, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Heights, heights, Hecke correspondences, Siegel modular groups, Siegel and Hilbert-Siegel modular and automorphic forms, 01 natural sciences, Diophantine geometry, Mathematics - Algebraic Geometry, Shimura varieties, Abelian varieties, modular polynomials, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, Arithmetic aspects of modular and Shimura varieties, Algebraic Geometry (math.AG), [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://hal.archives-ouvertes.fr/hal-02436057/document
http://arxiv.org/abs/2001.04138