The integral Chow ring of the stack of 1-pointed hyperelliptic curves

4 May 2020 · Michele Pernice ·

In this paper we give a complete description of the integral Chow ring of the stack $\mathscr{H}_{g,1}$ of 1-pointed hyperelliptic curves, lifting relations and generators from the Chow ring of $\mathscr{H}_g$. We also give a geometric interpretation for the generators.