Non-birational Calabi-Yau threefolds that are derived equivalent
classification
🧮 math.AG
keywords
calabi-yauexistencethreefoldsderivedequivalentimpliesnon-birationalargue
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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.
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