The Chow ring of the stack of hyperelliptic curves of odd genus

Abstract

We find a new presentation of the stack of hyperelliptic curves of odd genus as a quotient stack and we use it to compute its integral Chow ring by means of equivariant intersection theory.

arXiv comment27 pages, published on Int. Math. Res. Not

Cited by in corpus (4)

• Picard group of moduli of curves of low genus in positive characteristic
• Cohomological invariants of the stack of hyperelliptic curves of odd genus
• Stable cuspidal curves and the integral Chow ring of ${\overline{\mathcal{M}}}_{2,1}$
• The Integral Chow Ring of the Stack of Pointed Hyperelliptic Curves