Smoothings of schemes with non-isolated singularities
Algebraic Geometry
2009-08-24 v2
Abstract
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 to have smoothings and Q-Gorenstein smoothings.
Cite
@article{arxiv.0808.0436,
title = {Smoothings of schemes with non-isolated singularities},
author = {Nikolaos Tziolas},
journal= {arXiv preprint arXiv:0808.0436},
year = {2009}
}
Comments
Final version, accepted for publication in the Michigan Mathematical Journal. 53 pages