arXiv Analytics

Sign in

arXiv:math/0408338 [math.AG]AbstractReferencesReviewsResources

Classical and minimal models of the moduli space of curves of genus two

Brendan Hassett

Published 2004-08-24Version 1

This semi-expository paper discusses the log minimal model program as applied to the moduli space of curves, especially in the case of curves of genus two. Log canonical models for these moduli spaces can often be constructed using the techniques of Geometric Invariant Theory. In genus two, this boils down to the invariant theory of binary sextics, which was developed systematically in the 19th century.

Comments: submitted to `Geometric methods in algebra and number theory' Proceedings of a December 2003 conference at the University of Miami, edited by F. Bogomolov and Yu. Tschinkel
Categories: math.AG
Related articles: Most relevant | Search more
arXiv:math/0703093 [math.AG] (Published 2007-03-03)
Log minimal model program for the moduli space of stable curves of genus three
arXiv:1712.02776 [math.AG] (Published 2017-12-07)
Geometric invariant theory of syzygies, with applications to moduli spaces
arXiv:1308.1148 [math.AG] (Published 2013-08-06, updated 2014-10-04)
Log minimal model program for the moduli space of stable curves: The second flip

Links

Toolbox