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arXiv · 2301.12751

Totaro--Vial lemma in F-theory

Hayato Morimura
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Abstract

For each pair of elliptic Calabi--Yau $3$-folds in the list of Knapp--Scieidegger--Schimannek \cite{2107.05647}, we prove that they are derived-equivalent linear over the base. Except one self-dual pair, each yields two families of smooth elliptic fibrations over a common base whose general fibers are nonbirational derived-equivalent.

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Hayato Morimura. 2023-01-30. Totaro--Vial lemma in F-theory. https://arxiv.org/abs/2301.12751

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