Deformation de fibres vectoriels sur les varietes lisses de dimension trois

Details Deformation de fibres vectoriels sur les varietes lisses de dimension trois Deformation de fibres vectoriels sur les varietes lisses de dimension trois

2001-12-19

arxiv.org/abs/math/0112199v1

Mathematics

Algebraic Geometry

In french, 19 pages

Scientific paper

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.

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