Papers › Cohomology of moduli spaces of Del Pezzo surfaces
Cohomology of moduli spaces of Del Pezzo surfaces
Olof Bergvall, Frank Gounelas
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We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree three and four 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.
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