Relative cohomology of cuspidal forms on PEL-type Shimura varieties

被引：7

作者：

Lan, Kai-Wen ^{[1
]}

Stroh, Benoit ^{[2
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Univ Paris 13, CNRS, LAGA, F-93430 Villetaneuse, France

来源：

ALGEBRA & NUMBER THEORY | 2014年 / 8卷 / 08期

基金：

美国国家科学基金会;

关键词：

Shimura varieties; vanishing theorem; toroidal compactification; minimal compactification; cuspidal forms; TORSION AUTOMORPHIC SHEAVES; VANISHING THEOREMS;

D O I：

10.2140/ant.2014.8.1787

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a short proof that, for PEL-type Shimura varieties, subcanonical extensions of automorphic bundles, whose global sections over toroidal compactifications of Shimura varieties are represented by cuspidal automorphic forms, have no higher direct images under the canonical morphism to the minimal compactification, in characteristic zero or in positive characteristics greater than an explicitly computable bound.

引用

页码：1787 / 1799

页数：13