English

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

R2 v1 2026-06-21T10:04:35.219Z