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Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two (2309.04388v2)

Published 8 Sep 2023 in math.NT and math.AG

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.

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