A Prym construction for the cohomology of a cubic hypersurface

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dc.creatorIzadi, E.
dc.date1997-01-25
dc.date.accessioned2026-07-07T09:07:09Z
dc.date.available2026-07-07T09:07:09Z
dc.descriptionMumford defined a natural isomorphism between the intermediate jacobian of a conic-bundle over $P^2$ and the Prym variety of a naturally defined étale double cover of the discrminant curve of the conic-bundle. Clemens and Griffiths used this isomorphism to give a proof of the irrationality of a smooth cubic threefold and Beauville later generalized the isomorphism to intermediate jacobians of odd-dimensional quadric-bundles over $P^2$. We further generalize the isomorphism to the primitive cohomology of a smooth cubic hypersurface in $P^n$.
dc.descriptionAMS-Latex, 39 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9701012
dc.identifierhttp://arxiv.org/abs/alg-geom/9701012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150267
dc.subjectAlgebraic Geometry
dc.subject14J70 (Primary) 14J45 (Secondary)
dc.titleA Prym construction for the cohomology of a cubic hypersurface
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