3 citations · 3 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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 …
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.…
Versal dg deformation of Calabi--Yau manifolds
Hayato Morimura
We prove the equivalence of the deformation theory for a higher dimensional Calabi--Yau manifold and that for its dg category of perfect complexes by giving a natural isomorphism o…
Derived equivalences for the flops of type and via mutation of semiorthogonal decomposition
Hayato Morimura
We give a new proof of the derived equivalence of a pair of varieties connected by the flop of type in the list of Kanemitsu arXiv:1812.05392, which is originally due to Sega…