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Totaro--Vial lemma in F-theory

2023/01/30 by Morimura, Hayato
#14J32 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.12751

Abstract

For each pair of elliptic Calabi--Yau 3-folds in the list of Knapp--Scieidegger--Schimannek \cite2107.05647, 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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