On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, II.

被引：0

作者：

Faber, C ^{[1
]}

van der Geer, G

机构：

[1] Kungliga Tekniska Hgsk, Inst Matemat, S-10044 Stockholm, Sweden

[2] Univ Amsterdam, Korteweg de Vries Inst, NL-1018 TV Amsterdam, Netherlands

来源：

COMPTES RENDUS MATHEMATIQUE | 2004年 / 338卷 / 06期

关键词：

D O I：

10.1016/j.crma.2003.12.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, II. We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of Abelian surfaces. We dive an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how, counting curves over finite fields provides Lis with detailed information about Siegel modular forms. (C) 2004 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.

引用

页码：467 / 470

页数：4

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