Derived category of V_{12} Fano threefolds

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dc.creatorKuznetsov, Alexander
dc.date2003-10-01
dc.date.accessioned2026-07-07T05:01:33Z
dc.date.available2026-07-07T05:01:33Z
dc.descriptionA V_{12} Fano threefold is a smooth Fano threefold X of index 1 with Pic X = Z and (-K_X)^3=12. We show that the bounded derived category of coherent sheaves on any V_{12} threefold X admits a semiorthogonal decomposition consisting of two exceptional bundles and of the derived category of a curve of genus 7. As an application we show that the Fano surface of X (the surface parameterizing conics on X) is canonically isomorphic to the symmetric square of the associated genus 7 curve.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0310008
dc.identifierhttp://arxiv.org/abs/math/0310008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68715
dc.subjectAlgebraic Geometry
dc.titleDerived category of V_{12} Fano threefolds
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