On Picard bundles over Prym varieties

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dc.creatorPaz, L. Brambila
dc.creatorGonzalez, E. Gomez
dc.creatorPioli, F.
dc.date2000-08-07
dc.date.accessioned2026-07-25T22:51:17Z
dc.descriptionWe 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.
dc.description15 pages, Latex2e + amsart, xypic needed
dc.identifierhttps://arxiv.org/abs/math/0008054
dc.identifierhttp://arxiv.org/abs/math/0008054
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/93140
dc.subjectAlgebraic Geometry
dc.subject14J60 (Primary), 14D20, 14H60 (Secondary)
dc.titleOn Picard bundles over Prym varieties
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