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arXiv 2008-08-04 0 views

Smoothings of schemes with non-isolated singularities

Tziolas, Nikolaos

Original · EN

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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