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math.AG2022
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 …
math.AG2022
Algebraic deformations and Fourier--Mukai transforms for Calabi--Yau manifolds
Hayato Morimura
Given a pair of derived-equivalent Calabi--Yau manifolds of dimension more than two, we prove that the derived equivalence can be extended to general fibers of versal deformations.…