Artin's axioms, composition and moduli spaces
Algebraic Geometry
2007-05-23 v1
Abstract
We prove Artin's axioms satisfy a compatibility for composition of 1-morphisms of stacks in groupoids. Consequently, some natural stacks in groupoids are algebraic, including a common generalization of Vistoli's Hilbert stack and the stack of branchvarieties of Alexeev and Knutson.
Cite
@article{arxiv.math/0602646,
title = {Artin's axioms, composition and moduli spaces},
author = {Jason Michael Starr},
journal= {arXiv preprint arXiv:math/0602646},
year = {2007}
}
Comments
19 pages