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

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

2008-04-09

arxiv.org/abs/0804.1509v1

Mathematics

Algebraic Geometry

39 pages

Scientific paper

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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