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20072023
most citedThe Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three

18 citations · 43 across the 9 of their papers we have counts for

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Showing 2022 · math.AGShow all

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math.AG2022★ 5 cited

Cohomology of moduli spaces via a result of Chenevier and Lannes

Jonas Bergström, Carel Faber

We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with -adic absolute Galois represe…

math.AG2022★ 6 cited

Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves

Jonas Bergström, Carel Faber, Sam Payne

We compute the number of F_q-points on M_{4,n}, for n less than or equal to 3, and show that it is a polynomial in q, using a sieve based on Hasse-Weil zeta functions. As an applic…