Non-birational Calabi-Yau threefolds that are derived equivalent

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dc.creatorCaldararu, Andrei
dc.date2006-01-10
dc.date2006-06-22
dc.date.accessioned2026-07-07T06:58:45Z
dc.date.available2026-07-07T06:58:45Z
dc.descriptionWe argue that the existence of genus one fibrations with multisections of high degree on certain Calabi-Yau threefolds implies the existence of pairs of such varieties that are not birational, but are derived equivalent. It also (likely) implies the existence of non-birational counterexamples to the Torelli problem for Calabi-Yau threefolds.
dc.descriptionFinal version to appear in IJM. Several references added
dc.identifierhttps://arxiv.org/abs/math/0601232
dc.identifierhttp://arxiv.org/abs/math/0601232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107483
dc.subjectAlgebraic Geometry
dc.subject14E30, 14J32, 14F05
dc.titleNon-birational Calabi-Yau threefolds that are derived equivalent
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