Smoothings of schemes with non-isolated singularities

Details Smoothings of schemes with non-isolated singularities Smoothings of schemes with non-isolated singularities

2008-08-04

arxiv.org/abs/0808.0436v2

Mathematics

Algebraic Geometry

Final version, accepted for publication in the Michigan Mathematical Journal. 53 pages

Scientific paper

In this paper we study the deformation and Q-Gorenstein deformation theory of
schemes with non-isolated singularities. We obtain obstruction spaces for the
existence of deformations and also for local deformations to exist globally.
Finally we obtain explicit criteria in order for a pure and reduced scheme of
finite type over a field $k$ to have smoothings and Q-Gorenstein smoothings.

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