Hayato Morimura

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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.…

math.AG2018

Derived equivalences for the flops of type $C_{2}$ and $A_{4}^{G}$ 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 $C_{2}$ in the list of Kanemitsu arXiv:1812.05392, which is originally due to Sega…

Algebraic deformations and Fourier--Mukai transforms for Calabi--Yau manifolds

Derived equivalences for the flops of type C2​ and A4G​ via mutation of semiorthogonal decomposition

Derived equivalences for the flops of type $C_{2}$ and $A_{4}^{G}$ via mutation of semiorthogonal decomposition