The Pfaffian-Grassmannian derived equivalence

Simple item page
dc.creatorBorisov, Lev
dc.creatorCaldararu, Andrei
dc.date2006-08-15
dc.date2006-09-25
dc.date.accessioned2026-07-07T07:21:50Z
dc.date.available2026-07-07T07:21:50Z
dc.descriptionWe argue that there exists a derived equivalence between Calabi-Yau threefolds obtained by taking dual hyperplane sections (of the appropriate codimension) of the Grassmannian G(2, 7) and the Pfaffian Pf(7). The existence of such an equivalence has been conjectured by physicists for almost ten years, as the two families of Calabi-Yau threefolds are believed to have the same mirror. It is the first example of a derived equivalence between Calabi-Yau threefolds which are provably non-birational.
dc.descriptionStreamlined and shortened exposition, Macaulay calculations not needed any more
dc.identifierhttps://arxiv.org/abs/math/0608404
dc.identifierhttp://arxiv.org/abs/math/0608404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115441
dc.subjectAlgebraic Geometry
dc.subject14J32; 14F43; 14M15; 81T30
dc.titleThe Pfaffian-Grassmannian derived equivalence
dc.typetext

Files

Collections

arXiv