Categorical generic fiber
Algebraic Geometry
2024-12-30 v4
Abstract
For flat proper families of algebraic varieties with a smooth fiber, we describe the abelian category of coherent sheaves on the generic fiber as a Serre quotient. As an application, we prove specialization of derived equivalence. As another application, we provide new examples of Fourier--Mukai partners via deformations.
Cite
@article{arxiv.2111.00239,
title = {Categorical generic fiber},
author = {Hayato Morimura},
journal= {arXiv preprint arXiv:2111.00239},
year = {2024}
}
Comments
25 pages;v4:Final version, modified following the referee's suggestions, to appear in Journal of Algebra