Smoothings of Fano schemes with normal crossing singularities of dimension at most three

Details Smoothings of Fano schemes with normal crossing singularities of dimension at most three Smoothings of Fano schemes with normal crossing singularities of dimension at most three

2009-07-21

arxiv.org/abs/0907.3641v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We study the deformation theory of a Fano variety X with normal crossing
singularities of dimension at most three. We obtain a formula for the sheaf
T^1(X) of first order deformations of X in a suitable log resolution of X and
its singular locus Z and we obtain explicit criteria for the existence of
smoothings of X.

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