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Titlebook: Arithmetic and Geometry Around Hypergeometric Functions; Lecture Notes of a C Rolf-Peter Holzapfel,A. Muhammed Uludağ,Masaaki Yo Book 2007

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发表于 2025-3-21 17:40:30 | 显示全部楼层 |阅读模式
期刊全称Arithmetic and Geometry Around Hypergeometric Functions
期刊简称Lecture Notes of a C
影响因子2023Rolf-Peter Holzapfel,A. Muhammed Uludağ,Masaaki Yo
视频video
发行地址Presents reviewed and polished lecture notes, survey articles and original research results written by acknowledged experts in the field.Contains a stimulating collection of open problems
学科分类Progress in Mathematics
图书封面Titlebook: Arithmetic and Geometry Around Hypergeometric Functions; Lecture Notes of a C Rolf-Peter Holzapfel,A. Muhammed Uludağ,Masaaki Yo Book 2007
影响因子.This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and Picard-Terada-Deligne-Mostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur‘s hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers. .
Pindex Book 2007
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发表于 2025-3-21 20:25:04 | 显示全部楼层
0743-1643 city of values of Schwartz triangle functions, and Thakur‘s hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers. .978-3-7643-8284-1Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Moduli of K3 Surfaces and Complex Ball Quotients,rgeometric differential forms. For convenience to a non-expert reader we include an introduction to the theory of periods of integrals on algebraic varieties with emphasis on abelian varieties and K3 surfaces.
发表于 2025-3-22 07:20:13 | 显示全部楼层
Book 2007ometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur‘s hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers. .
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https://doi.org/10.1007/978-1-4842-0484-9f “orbital intersection theory”. We demonstrate for Hilbert and Picard surface . how their Fourier coefficients can be used to count Shimura curves of given norm on .. On recently discovered orbital projective planes the Shimura curves are joined with well-known classical elliptic modular forms.
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On the Construction of Class Fields by Picard Modular Forms,ruence subgroup of level (1 + .) of the full Picard modular group of Gauß numbers. If . is the period of a (Jacobian of a) curve with complex multiplication the corresponding moduli field is generated over the rational numbers by .(.). Hence the values in CM points of this function generate abelian extensions of the associated reflex field.
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