Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties
Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties
复制标题
一般 PEL 型 Shimura 品种上扭转自守滑轮的消失定理
DOI：
10.1016/j.aim.2013.04.004
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发表时间：
2013
影响因子：
1.7
通讯作者：
Junecue Suh
中科院分区：
文献类型：
--
作者：
Kai;Junecue Suh
我们认为内部上同调（和霍奇分次件的情况下的德拉姆实现）的一般不一定紧的PEL型志村品种的系数在当地的系统对应于充分正规的代数表示相关的约化群。对于大于有效界的素数p，我们证明了Fp-和Zp-上同调群集中在中等程度上，Zp-上同调群不含p-挠，并且每一个Fp-上同调类都提升到Zp-上同调类.
We consider the interior cohomology (and the Hodge graded pieces in the case of the de Rham realization) of general–not necessarily compact–PEL-type Shimura varieties with coefficients in the local systems corresponding to sufficiently regular algebraic representations of the associated reductive group. For primes p bigger than an effective bound, we prove that the Fp- and Zp-cohomology groups are concentrated in the middle degree, that the Zp-cohomology groups are free of p-torsion, and that every Fp-cohomology class lifts to a Zp-cohomology class.