Cohomology of moduli spaces of Del Pezzo surfaces

Olof Bergvall and Frank Gounelas

Mathematische Nachrichten, 2023, vol. 296, issue 1, 80-101

Abstract: We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.

Date: 2023
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https://doi.org/10.1002/mana.202100311

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