On derived equivalence classes of algebraic varieties

dc.creatorAnel, M.
dc.creatorToen, B.
dc.date2006-11-17
dc.date2007-07-04
dc.date.accessioned2026-07-07T08:13:50Z
dc.date.available2026-07-07T08:13:50Z
dc.descriptionLet $X \to S$ be a miniversal family of smooth and projective varieties and D be a fixed triangulated category. We show that the set of points s in S such that the derived category of the fiber X_s at s is equivalent to D is at most countable. We deduce from this that the derived equivalence classes of smooth and projective complex varieties is at most countable.
dc.description19 pages, French, some typos corrected. Final version, to appear in JAG
dc.identifierhttps://arxiv.org/abs/math/0611545
dc.identifierhttp://arxiv.org/abs/math/0611545
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132910
dc.subjectAlgebraic Geometry
dc.titleOn derived equivalence classes of algebraic varieties
dc.typetext

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