Vol. 8, No. 5, 2014

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print) Author Index To Appear Other MSP Journals
The final log canonical model of $\overline{\mathcal{M}}_6$

Fabian Müller

Vol. 8 (2014), No. 5, 1113–1126
Abstract

We describe the birational model of ${\overline{\mathsc{ℳ}}}_{6}$ 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 nontrivial space in the log minimal model program for ${\overline{\mathsc{ℳ}}}_{6}$. We also obtain a new upper bound for the moving slope of the moduli space.

Keywords
moduli space of curves, genus 6, log canonical model, moving slope
Mathematical Subject Classification 2010
Primary: 14H10
Secondary: 14E30, 14H45