Smooth toric DM stacks
Algebraic Geometry
2009-09-22 v2 Commutative Algebra
Abstract
We give a new definition of smooth toric DM stacks in the same spirit of toric varieties. We show that our definition is equivalent to the one of Borisov, Chen and Smith in terms of stacky fans. In particular, we give a geometric interpretation of the combinatorial data contained in a stacky fan. We also give a bottom up classification in terms of simplicial toric varieties and fiber products of root stacks.
Keywords
Cite
@article{arxiv.0708.1254,
title = {Smooth toric DM stacks},
author = {Barbara Fantechi and Etienne Mann and Fabio Nironi},
journal= {arXiv preprint arXiv:0708.1254},
year = {2009}
}
Comments
37 pages, 4 figures, minor changes, to appear in Crelle