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.
ALGEBRAIC DEFORMATIONS AND FOURIER–MUKAI TRANSFORMS FOR CALABI–YAU MANIFOLDS / Morimura, Hayato. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 151:1(2023), pp. 29-43. [10.1090/proc/16073]
ALGEBRAIC DEFORMATIONS AND FOURIER–MUKAI TRANSFORMS FOR CALABI–YAU MANIFOLDS
Morimura, Hayato
2023-01-01
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.File in questo prodotto:
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