Derived Quot schemes

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dc.creatorCiocan-Fontanine, I.
dc.creatorKapranov, M.
dc.date1999-05-27
dc.date2000-05-16
dc.date.accessioned2026-07-07T05:29:16Z
dc.date.available2026-07-07T05:29:16Z
dc.descriptionRealizing a part of the Derived Deformation Theory program, we construct a "derived" analog of the Grothendieck's Quot scheme parametrizing subsheaves in a given coherent sheaf F on a smooth projective variety X. This analog is a differential graded manifold RQuot_h(F) (so it is always smooth in an appropriate sense) whose tangent space at a point represented by a subsheaf K in F, is a cochain complex quasiisomorphic to RHom(K, F/K).
dc.description46 pages, AMS-TeX. Revised version, to appear in Ann. Sci. ENS
dc.identifierhttps://arxiv.org/abs/math/9905174
dc.identifierhttp://arxiv.org/abs/math/9905174
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78570
dc.subjectAlgebraic Geometry
dc.titleDerived Quot schemes
dc.typetext

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