The final log canonical model of ${\bar{M}}_6$

Abstract

We describe the birational model of ${\bar{M}}_6$ given by quadric hyperplane sections of the degree 5 del Pezzo surface. In the spirit of the genus 4 case treated by Fedorchuk, we show that it is the last non-trivial space in the log minimal model program for ${\bar{M}}_6$. We also obtain a new upper bound for the moving slope of the moduli space.

LaTeX, 11 pages

Cited by in corpus (1)

• Geometric invariant theory of syzygies, with applications to moduli spaces