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math.AG2024

Totaro--Vial lemma in F-theory

Hayato Morimura

For each pair of elliptic Calabi--Yau -folds in the list of Knapp--Scieidegger--Schimannek \cite{2107.05647}, we prove that they are derived-equivalent linear over the base. Exc…

math.AG2024

Reduced Tate-Shafarevich group

Hayato Morimura

We prove a sort of reconstruction theorem for generic elliptic Calabi-Yau -folds in the sense of Căldăraru. From our argument it follows that two generic elliptic Calabi-Yau $…