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Cohomology of moduli spaces of Del Pezzo surfaces |
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| Authors: | Olof Bergvall Frank Gounelas |
| Institution: | 1. Department of Mathematics and Physics, Mälardalen University, Västerås, Sweden;2. Georg-August-Universität Göttingen, Fakultät für Mathematik und Informatik, Göttingen, Germany |
| 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. |
| Keywords: | cohomology of moduli cubic surface Del Pezzo surface hyperplane arrangements |