Exceptional sequences and derived autoequivalences

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dc.creatorCanonaco, Alberto
dc.date2007-12-31
dc.date.accessioned2026-07-07T08:51:59Z
dc.date.available2026-07-07T08:51:59Z
dc.descriptionWe prove a general theorem that gives a non trivial relation in the group of derived autoequivalences of a variety (or stack) X, under the assumption that there exists a suitable functor from the derived category of another variety Y admitting a full exceptional sequence. Applications include the case in which X is Calabi-Yau and either X is a hypersurface in Y (this extends a previous result by the author and R.L. Karp, where Y was a weighted projective space) or Y is a hypersurface in X. The proof uses a resolution of the diagonal of Y constructed from the exceptional sequence.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0801.0173
dc.identifierhttp://arxiv.org/abs/0801.0173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145128
dc.subjectAlgebraic Geometry
dc.subject18E30
dc.titleExceptional sequences and derived autoequivalences
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