On Picard bundles over Prym varieties
Algebraic Geometry
2007-05-23 v1
Abstract
We study the birationality (onto its image) of the Abel-Prym morphism associated with a Prym-Tuyrin variety. We use such result to prove that Picard bundles over Prym varieties are simple and moreover they are stable when the Abel-Prym morphism is not birational. As a consequence we obtain that Picard bundles over moduli spaces of stable vector bundles with fixed determinant are simple. We prove that Picard bundles over moduli spaces of rank 2 vector bundles on curves of genus 2 bundles are stable.
Cite
@article{arxiv.math/0008054,
title = {On Picard bundles over Prym varieties},
author = {L. Brambila Paz and E. Gomez Gonzalez and F. Pioli},
journal= {arXiv preprint arXiv:math/0008054},
year = {2007}
}
Comments
15 pages, Latex2e + amsart, xypic needed