Rational cohomology of the moduli space of trigonal curves of genus 5

Abstract

We compute the rational cohomology of the moduli space of trigonal curves of genus 5. We do this by considering their natural embedding in the first Hirzebruch surface and by using Gorinov-Vassiliev's method.

arXiv comment34 pages, comments are welcome

References in corpus (6)

• Tropical curves, graph complexes, and top weight cohomology of M_g
• Moduli of Trigonal Curves
• Topology of moduli spaces of tropical curves with marked points
• How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces
• On the Chow ring of the Hurwitz space of degree three covers of ${\mathbf{P}}^1$
• Counting the number of trigonal curves of genus 5 over finite fields

Cited by in corpus (2)

• Stable cohomology of the moduli space of trigonal curves
• Topology of spaces of regular sections and applications to automorphism groups