Nikolaos Tziolas
Published 2008-08-04, updated 2009-08-24Version 2
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.
Comments: Final version, accepted for publication in the Michigan Mathematical Journal. 53 pages
Topology of smoothings of non-isolated singularities of complex surfaces
Homotopy groups of complements and non-isolated singularities
Invariants of Non-Isolated Singularities of Hypersurfaces
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