Vol. 8, No. 5, 2014

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 10, 1767–1943
Issue 9, 1589–1766
Issue 8, 1403–1587
Issue 7, 1221–1401
Issue 6, 1039–1219
Issue 5, 847–1038
Issue 4, 631–846
Issue 3, 409–629
Issue 2, 209–408
Issue 1, 1–208

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
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
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