On Picard bundles over Prym varieties

Details On Picard bundles over Prym varieties On Picard bundles over Prym varieties

2000-08-07

arxiv.org/abs/math/0008054v1

Mathematics

Algebraic Geometry

15 pages, Latex2e + amsart, xypic needed

Scientific paper

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.

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