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math.NT2023
Dimension formulas for spaces of vector-valued Siegel modular forms of degree two and level two
Jonas Bergström, Fabien Cléry
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…
math.NT2022
Modular forms via invariant theory
Fabien Cléry, Gerard van der Geer
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms a…