Derived categories of cubic and V14 threefolds

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dc.creatorKuznetsov, Alexander
dc.date2003-03-04
dc.date.accessioned2026-07-07T06:32:55Z
dc.date.available2026-07-07T06:32:55Z
dc.descriptionWe show that the projectivization of the exceptional rank 2 vector bundle on an arbitrary smooth V14 Fano threefold after a certain natural flop turns into the projectivization of an instanton vector bundle on a smooth cubic threefold. And vice versa, starting from a smooth cubic threefold with an instanton vector bundle of charge 2 on it we reconstruct V14 threefold. Relying on the geometric properties of the above correspondence we prove that the orthogonals to the exceptional pairs in the bounded derived categories of coherent sheaves on a smooth V14 threefold and on the corresponding cubic threefold are equivalent as triangulated categories.
dc.description24 pages, dedicated to the memory of Andrei Nikolaevich Tyurin
dc.identifierhttps://arxiv.org/abs/math/0303037
dc.identifierhttp://arxiv.org/abs/math/0303037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99017
dc.subjectAlgebraic Geometry
dc.subjectCategory Theory
dc.titleDerived categories of cubic and V14 threefolds
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