Stability of genus five canonical curves
Algebraic Geometry
2013-02-28 v2
Abstract
We analyze GIT stability of nets of quadrics in up to projective equivalence. Since a general net of quadrics defines a canonically embedded smooth curve of genus five, the resulting GIT quotient gives a birational model of the moduli space of genus 5 curves. We study the geometry of the associated contraction and prove that the constructed GIT quotient is the final step of the log minimal model program for the moduli space of genus 5 curves.
Keywords
Cite
@article{arxiv.1302.4804,
title = {Stability of genus five canonical curves},
author = {Maksym Fedorchuk and David Ishii Smyth},
journal= {arXiv preprint arXiv:1302.4804},
year = {2013}
}
Comments
various misprints corrected in this version. 30 pages, to appear in the proceedings of the 2011 conference in honor of Joe Harris' 60th birthday