3 citations · 3 across the 6 of their papers we have counts for
6 papers
Homological mirror symmetry for complete intersections in algebraic tori
Hayato Morimura, Nicolò Sibilla, Peng Zhou
We prove one direction of homological mirror symmetry for complete intersections in algebraic tori, in all dimensions. The mirror geometry is not a space but a LG model, i.e. a pai…
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…