On Picard bundles over Prym varieties

Paz, L. Brambila; Gonzalez, E. Gomez; Pioli, F.

On Picard bundles over Prym varieties

Authors

Paz, L. Brambila

Gonzalez, E. Gomez

Pioli, F.

Description

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.
15 pages, Latex2e + amsart, xypic needed