Chow Stability of Curves of Genus 4 in P^3

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.

This paper has been withdrawn by the author due to a crucial error

References in corpus (2)

• Log minimal model program for the moduli space of stable curves of genus three
• A Compactification of the Space of Plane Curves

Cited by in corpus (1)

• Birational contraction of genus two tails in the moduli space of genus four curves I