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arXiv · 0903.0172

Equivariant resolutions of singularities as differential substacks

Camille Laurent-Gengoux
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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).

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Camille Laurent-Gengoux. 2009-03-01. Equivariant resolutions of singularities as differential substacks. https://arxiv.org/abs/0903.0172

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