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

DOI10.1016/j.crma.2003.12.025zbMath1055.14026OpenAlexW2785362841MaRDI QIDQ1433388

Gerard van der Geer, Carel Faber

Publication date: 15 June 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.12.025

zbMATH Keywords

Siegel modular formsEisenstein cohomologyendoscopic contribution

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Algebraic moduli of abelian varieties, classification (14K10) Cohomology of arithmetic groups (11F75)

Related Items

Picard modular forms and the cohomology of local systems on a Picard modular surface, Covariants of binary sextics and vector-valued Siegel modular forms of genus two, The rational cohomology of \(\overline{\mathcal{M}}_4\), Euler characteristics of moduli spaces of curves, \(\mathrm{GL}_2\times \mathrm{GSp}_2\) \(L\)-values and Hecke eigenvalue congruences, Cohomology of local systems on loci of \(d\)-elliptic abelian surfaces, The equivariant Euler characteristic of moduli spaces of curves, The Gorenstein conjecture fails for the tautological ring of \(\overline{\mathcal{M}}_{2,n}\), Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple ProductL-values, Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators, Formal Fourier Jacobi expansions and special cycles of codimension two, Hecke eigenvalues of Siegel modular forms of ``different weights, SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II, Siegel modular forms of genus 2 and level 2, Generators for modules of vector-valued Picard modular forms

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