Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes

Carel Faber; Gerard van der Geer

Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes

Carel Faber, Gerard van der Geer

Sub Fundamental Mathematics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms.

Original language	English
Journal	Comptes Rendus Mathematique
Publication status	Published - 2004

Keywords

Mathematics - Algebraic Geometry
Mathematics - Number Theory
11F46
11G18
14G35
14H10

Access to Document

http://adsabs.harvard.edu/abs/2003math......5094F

Cite this

@article{f3fc3be4ac3849bfaee52bb864215202,

title = "Sur la cohomologie des syst{\`e}mes locaux sur les espaces des modules des courbes de genre 2 et des surfaces ab{\'e}liennes",

abstract = "We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms.",

keywords = "Mathematics - Algebraic Geometry, Mathematics - Number Theory, 11F46, 11G18, 14G35, 14H10",

author = "Carel Faber and {van der Geer}, Gerard",

year = "2004",

language = "English",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Elsevier Masson ",

}

TY - JOUR

T1 - Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes

AU - Faber, Carel

AU - van der Geer, Gerard

PY - 2004

Y1 - 2004

N2 - We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms.

AB - We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms.

KW - Mathematics - Algebraic Geometry

KW - Mathematics - Number Theory

KW - 11F46

KW - 11G18

KW - 14G35

KW - 14H10

M3 - Article

SN - 1631-073X

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes

Abstract

Keywords

Access to Document

Fingerprint

Cite this