Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two
Number Theory
2025-03-05 v2 Algebraic Geometry
Abstract
Using a description of the cohomology of local systems on the moduli space of abelian surfaces with a full level two structure, together with a computation of Euler characteristics we find the isotypical decomposition, under the symmetric group on 6 letters, of spaces of vector-valued Siegel modular forms of degree two and level two.
Keywords
Cite
@article{arxiv.2309.04388,
title = {Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two},
author = {Jonas Bergström and Fabien Cléry},
journal= {arXiv preprint arXiv:2309.04388},
year = {2025}
}
Comments
17 pages, minor revisions, to appear in Publicacions Matem\`atiques