Equivariant Cohomology of the Moduli Space of Genus Three Curves with Symplectic Level Two Structure via Point Counts

Abstract

We make cohomological computations related to the moduli space of genus three curves with symplectic level two structure by means of counting points over finite fields. In particular, we determine the cohomology groups of the quartic locus as representations of the symmetric group on seven elements.

48 pages, 9 figures, 6 tables

References in corpus (1)

• Equivariant cohomology of moduli spaces of genus three curves with level two structure

Cited by in corpus (2)

• Configurations of noncollinear points in the projective plane
• Frobenius actions on Del Pezzo surfaces of degree 2