Non-birational Calabi-Yau threefolds that are derived equivalent
Algebraic Geometry
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0601232,
title = {Non-birational Calabi-Yau threefolds that are derived equivalent},
author = {Andrei Caldararu},
journal= {arXiv preprint arXiv:math/0601232},
year = {2007}
}
Comments
Final version to appear in IJM. Several references added