Algebraic deformations and Fourier--Mukai transforms for Calabi--Yau manifolds
Algebraic Geometry
2022-03-10 v1
Abstract
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. As an application, we give a new proof of the Pfaffian--Grassmannian derived equivalence.
Keywords
Cite
@article{arxiv.2203.04901,
title = {Algebraic deformations and Fourier--Mukai transforms for Calabi--Yau manifolds},
author = {Hayato Morimura},
journal= {arXiv preprint arXiv:2203.04901},
year = {2022}
}
Comments
13 pages, To appear in Proceedings of the AMS