Twisted stable maps to tame Artin stacks
Algebraic Geometry
2010-03-31 v3
Abstract
This paper is a continuation of our earlier development of a theory of tame Artin stacks. Our main goal here is the construction of an appropriate analogue of Kontsevich's space of stable maps in the case where the target is a tame Artin stack. When the target is a tame Deligne--Mumford stack, the theory was developed by Abramovich and Vistoli, and found a number of applications. The theory for arbitrary tame Artin stacks developed here is very similar, but it is necessary to overcome a number of technical hurdles and to generalize a few questions of foundation.
Keywords
Cite
@article{arxiv.0801.3040,
title = {Twisted stable maps to tame Artin stacks},
author = {Dan Abramovich and Martin Olsson and Angelo Vistoli},
journal= {arXiv preprint arXiv:0801.3040},
year = {2010}
}
Comments
Made several improvements in the exposition