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.

34 pages, comments are welcome

References in corpus (1)

• How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces

Cited by in corpus (1)

• Stable cohomology of the moduli space of trigonal curves