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arXiv · 2111.00239

Categorical generic fiber

Hayato Morimura
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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.

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Hayato Morimura. 2021-10-30. Categorical generic fiber. https://arxiv.org/abs/2111.00239

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