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arXiv · 0806.0731

Chow Stability of Curves of Genus 4 in P^3

Hosung Kim
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Abstract

In the paper, we study the GIT construction of the moduli space of Chow semistable curves of genus 4 in P^3. By using the GIT method developed by Mumford and a deformation theoretic argument, we give a modular description of this moduli space. We classify Chow stable or Chow semistable curves when they are irreducible or nonreduced. Then we work out the case when a curve has two components. Our classification provides some clues to understand the birational map from the moduli space of stable curves of genus 4 to the moduli space of Chow semistable curves of genus 4 in P^3.

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Hosung Kim. 2008-06-04. Chow Stability of Curves of Genus 4 in P^3. https://arxiv.org/abs/0806.0731

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