Three-dimensional flops and non-commutative rings

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dc.creatorBergh, Michel Van den
dc.date2002-07-19
dc.date.accessioned2026-07-07T04:49:46Z
dc.date.available2026-07-07T04:49:46Z
dc.descriptionIf Y,Z are three-dimensional smooth varieties related by a flop, then Bondal and Orlov conjectured that the derived categories of coherent sheaves on Y and Z are equivalent. This conjecture was recently proved by Bridgeland. Our aim in this paper is to give a partially new proof of Bridgeland's result using non-commutative rings. The new proof also covers some mild singular and higher dimensional situations (including the one in the recent paper by Chen: ``Flops and Equivalences of derived Categories for Threefolds with only Gorenstein Singularities'').
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0207170
dc.identifierhttp://arxiv.org/abs/math/0207170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64547
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject18E30, 14E30, 14A22
dc.titleThree-dimensional flops and non-commutative rings
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