Deformation de fibres vectoriels sur les varietes lisses de dimension trois
Algebraic Geometry
2007-05-23 v1
Abstract
Let X be a smooth 3-fold and let E be a rank 2 torsion free sheaf. In the first part of this paper, we give some necessary conditions for the sheaf E to be limit of vector bundles. In the second part, we describe an example of this problem. Thanks to the construction of Ellingsrud and Stromme, we describe a familly of rank 2 sheaves on P^3 (the 3-dimensional projective space). We show that for this familly, the conditions of the first part are sufficient.
Cite
@article{arxiv.math/0112199,
title = {Deformation de fibres vectoriels sur les varietes lisses de dimension trois},
author = {Nicolas Perrin},
journal= {arXiv preprint arXiv:math/0112199},
year = {2007}
}
Comments
In french, 19 pages