Non-birational Calabi-Yau threefolds that are derived equivalent

Details Non-birational Calabi-Yau threefolds that are derived equivalent Non-birational Calabi-Yau threefolds that are derived equivalent

2006-01-10

arxiv.org/abs/math/0601232v2

Mathematics

Algebraic Geometry

Final version to appear in IJM. Several references added

Scientific paper

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.

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