Log canonical models and variation of GIT for genus four canonical curves
Algebraic Geometry
2015-03-13 v3
Abstract
We discuss GIT for canonically embedded genus four curves and the connection to the Hassett-Keel program. A canonical genus four curve is a complete intersection of a quadric and a cubic, and, in contrast to the genus three case, there is a family of GIT quotients that depend on a choice of linearization. We discuss the corresponding VGIT problem and show that the resulting spaces give the final steps in the Hassett-Keel program for genus four curves.
Cite
@article{arxiv.1203.5014,
title = {Log canonical models and variation of GIT for genus four canonical curves},
author = {Sebastian Casalaina-Martin and David Jensen and Radu Laza},
journal= {arXiv preprint arXiv:1203.5014},
year = {2015}
}
Comments
31 pages, to appear in J. Algebraic Geom