The final log canonical model of ℳ6

Müller, Fabian

doi:10.2140/ant.2014.8.1113

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

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

DOI: 10.2140/ant.2014.8.1113

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 nontrivial 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.

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

Vol. 8, No. 5, 2014