Non-birational Calabi-Yau threefolds that are derived equivalent

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We 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.
Final version to appear in IJM. Several references added

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Algebraic Geometry, 14E30, 14J32, 14F05

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http://salesiana.dossiersoluciones.com/handle/123456789/107483

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601232
 http://arxiv.org/abs/math/0601232

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arXiv