T-structures on some local Calabi-Yau varieties

dc.creatorBridgeland, Tom
dc.date2005-02-02
dc.date.accessioned2026-07-07T05:16:37Z
dc.date.available2026-07-07T05:16:37Z
dc.descriptionLet $Z$ be a Fano variety satisfying the condition that the rank of the Grothendieck group of $Z$ is one more than the dimension of $Z$. Let $ω_Z$ denote the total space of the canonical line bundle of $Z$, considered as a non-compact Calabi-Yau variety. We use the theory of exceptional collections to describe t-structures on the derived category of coherent sheaves on $ω_Z$. The combinatorics of these t-structures is determined by a natural action of an affine braid group, closely related to the well-known action of the Artin braid group on the set of exceptional collections on $Z$.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0502050
dc.identifierhttp://arxiv.org/abs/math/0502050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74053
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleT-structures on some local Calabi-Yau varieties
dc.typetext

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