Equivariant resolutions of singularities as differential substacks

Details Equivariant resolutions of singularities as differential substacks Equivariant resolutions of singularities as differential substacks

2009-03-01

arxiv.org/abs/0903.0172v1

Mathematics

Differential Geometry

29 pages

Scientific paper

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).

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