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arXiv · 2001.07762

Lifting Automorphisms on Abelian Varieties as Derived Autoequivalences

Tanya Kaushal Srivastava
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Abstract

We show that on an Abelian variety over an algebraically closed field of positive characteristic, the obstruction to lifting an automorphism to an Abelian variety over a field of characteristic zero as a morphism vanishes if and only if it vanishes for lifting it as an autoequivalence. We also compare the deformation space of these two types of deformations.

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Tanya Kaushal Srivastava. 2020-01-21. Lifting Automorphisms on Abelian Varieties as Derived Autoequivalences. https://arxiv.org/abs/2001.07762

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