On Picard bundles over Prym varieties

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

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On Picard bundles over Prym varieties

L. Brambila Paz·E. Gomez Gonzalez·F. Pioli

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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.

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BibTeX RIS

L. Brambila Paz, E. Gomez Gonzalez, F. Pioli. 2000-08-07. On Picard bundles over Prym varieties. https://arxiv.org/abs/math/0008054

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