Deformations of the Picard Bundle
Algebraic Geometry
2007-05-23 v2
Abstract
Let X be a nonsingular projective algebraic curve of genus g\ge3. We consider the moduli space M of stable bundles of fixed determinant with rank n and degree d coprime and d>n(2g-2). There is a universal bundle on XxM and we consider the direct image of this bundle on M. With the given restriction on d, this is a bundle W called the Picard bundle. Our main object in this paper is to compute the infinitesimal deformations of W. We show also that W possesses a moduli space and that the connected component of this moduli space containing W is isomorphic as a polarised variety to the Jacobian of X.
Cite
@article{arxiv.math/0104170,
title = {Deformations of the Picard Bundle},
author = {I. Biswas and L. Brambila-Paz and P. E. Newstead},
journal= {arXiv preprint arXiv:math/0104170},
year = {2007}
}
Comments
14 pages, AMSLatex, introduction rewritten, minor additions, new references