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arXiv · 0804.1509

The rationality of the moduli space of curves of genus 3 after P. Katsylo

Christian Böhning
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Abstract

This article is a survey of P. Katsylo's proof that the moduli space of smooth projective complex curves of genus 3 is rational. We hope to make the argument more comprehensible and transparent by emphasizing the underlying geometry in the proof and its key structural features.

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Christian Böhning. 2008-04-09. The rationality of the moduli space of curves of genus 3 after P. Katsylo. https://arxiv.org/abs/0804.1509

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