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

Carel Faber; Gerard van der Geer

doi:10.1016/j.crma.2003.12.025

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

Translated title of the contribution: On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, II

Carel Faber^*
, Gerard van der Geer

^*Corresponding author for this work

University of Amsterdam
extern

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.

Translated title of the contribution	On the cohomology of local systems on the moduli spaces of curves of genus 2 and of Abelian surfaces, II
Original language	French
Pages (from-to)	467-470
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	338
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2003.12.025
Publication status	Published - 15 Mar 2004
Externally published	Yes

Access to Document

10.1016/j.crma.2003.12.025

Cite this

@article{b7c2e444709d4d54965de3f16be338be,

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

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.",

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

year = "2004",

month = mar,

day = "15",

doi = "10.1016/j.crma.2003.12.025",

language = "French",

volume = "338",

pages = "467--470",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "6",

}

TY - JOUR

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

AU - Faber, Carel

AU - van der Geer, Gerard

PY - 2004/3/15

Y1 - 2004/3/15

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.

UR - https://www.scopus.com/pages/publications/1542288410

U2 - 10.1016/j.crma.2003.12.025

DO - 10.1016/j.crma.2003.12.025

M3 - Article

AN - SCOPUS:1542288410

SN - 1631-073X

VL - 338

SP - 467

EP - 470

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 6

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this