Vol. 8, No. 5, 2014

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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
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 ¯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 ¯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
Milestones
Received: 17 June 2013
Revised: 6 April 2014
Accepted: 19 May 2014
Published: 16 September 2014
Authors
Fabian Müller
Humboldt-Universität zu Berlin
Unter den Linden 6
D-10099 Berlin
Germany