Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties

被引：25

作者：

Lan, Kai-Wen ^{[1
,2
]}

机构：

[1] Princeton Univ, Princeton, NJ 08544 USA

[2] Inst Adv Study, Princeton, NJ 08544 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2012年 / 664卷

基金：

美国国家科学基金会;

关键词：

MODULI;

D O I：

10.1515/CRELLE.2011.099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using explicit identifications between algebraic and analytic theta functions, we compare the algebraic constructions of toroidal compactifications by Faltings-Chai and the author, with the analytic constructions of toroidal compactifications following Ash-Mumford-Rapoport-Tai. As one of the applications, we obtain the corresponding comparison for Fourier-Jacobi expansions of holomorphic automorphic forms.

引用

页码：163 / 228

页数：66

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