Towards Mori's program for the moduli space of stable maps
Algebraic Geometry
2009-05-19 v1
Abstract
We introduce and compute the class of a number of effective divisors on the moduli space of stable maps , which, for small d, provide a good understanding of the extremal rays and the stable base locus decomposition for the effective cone. We also discuss various birational models that arise in Mori's program, including the Hilbert scheme, the Chow variety, the space of -stable maps, the space of branchcurves and the space of semi-stable sheaves.
Cite
@article{arxiv.0905.2947,
title = {Towards Mori's program for the moduli space of stable maps},
author = {Dawei Chen and Izzet Coskun and Charley Crissman},
journal= {arXiv preprint arXiv:0905.2947},
year = {2009}
}
Comments
Main paper by Chen and Coskun, with a Macaulay 2 program in the appendix by Crissman to verify certain moving curves