Polarized twisted conics and moduli of stable curves of genus two

Andrea Di Lorenzo; Angelo Vistoli

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arXiv · 2103.13204

Polarized twisted conics and moduli of stable curves of genus two

Andrea Di Lorenzo·Angelo Vistoli

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Abstract

In this paper we introduce the stack of polarized twisted conics and we use it to give a new point of view on $\overline{\mathcal{M}}_2$. In particular, we present a new and independent approach to the computation of the integral Chow ring of $\overline{\mathcal{M}}_2$, previously determined by Eric Larson.

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Andrea Di Lorenzo, Angelo Vistoli. 2021-03-24. Polarized twisted conics and moduli of stable curves of genus two. https://arxiv.org/abs/2103.13204

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