Equivariant resolutions of singularities as differential substacks
Differential Geometry
2009-03-03 v1
Abstract
We show that there is an one-to-one correspondence between resolutions (equivariant w.r.t. a Lie groupoid action) of a singular subset of a manifold, and substacks (of a certain type) of the differential stack associated to the Lie groupoid in question. In particular, we show how to build an equivariant resolution out of Lie subgroupoids (of a certain type).
Keywords
Cite
@article{arxiv.0903.0172,
title = {Equivariant resolutions of singularities as differential substacks},
author = {Camille Laurent-Gengoux},
journal= {arXiv preprint arXiv:0903.0172},
year = {2009}
}
Comments
29 pages