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

2022/03/09 by Morimura, Hayato
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.04901

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.

Related

• Versal dg deformation of Calabi--Yau manifolds
• Fourier-Mukai Transforms
• The Pfaffian-Grassmannian derived equivalence
• On the deformation theory of Fourier-Mukai transforms between Calabi-Yau varieties
• Deformations of elliptic Calabi--Yau manifolds