The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three

Di Lorenzo, Andrea; Fulghesu, Damiano; Vistoli, Angelo

doi:10.1090/tran/8354

The integral Chow ring of the stack of smooth non-hyperelliptic curves of genus three
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by Andrea Di Lorenzo, Damiano Fulghesu and Angelo Vistoli PDF

Trans. Amer. Math. Soc. 374 (2021), 5583-5622 Request permission

Abstract:

We compute the integral Chow ring of the stack of smooth, non-hyperelliptic curves of genus $3$. We obtain this result by computing the integral Chow ring of the stack of smooth plane quartics, by means of equivariant intersection theory.

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