Lifting automorphisms on Abelian varieties as derived autoequivalences

Srivastava, Tanya K

Lifting automorphisms on Abelian varieties as derived autoequivalences

Srivastava TK. 2021. Lifting automorphisms on Abelian varieties as derived autoequivalences. Archiv der Mathematik. 116(5), 515–527.

Download (ext.)

https://arxiv.org/abs/2001.07762 [Preprint]

DOI

10.1007/s00013-020-01564-y

Journal Article | Published | English

Scopus indexed

Author

Srivastava, Tanya K^ISTA

Department

Hausel Group

Grant

ISTplus - Postdoctoral Fellowships

Abstract

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

Publishing Year

2021

Date Published

2021-05-01

Journal Title

Archiv der Mathematik

Publisher

Springer Nature

Acknowledgement

I would like to thank Piotr Achinger, Daniel Huybrechts, Katrina Honigs, Marcin Lara, and Maciek Zdanowicz for the mathematical discussions, Tamas Hausel for hosting me in his research group at IST Austria, and the referees for their valuable suggestions. This research has received funding from the European Union’s Horizon 2020 research and innovation programme under Marie Sklodowska-Curie Grant Agreement No. 754411.

Volume

116

Issue

Page

515-527

ISSN

0003889X

eISSN

14208938

IST-REx-ID

9099

Cite this

Srivastava TK. Lifting automorphisms on Abelian varieties as derived autoequivalences. Archiv der Mathematik. 2021;116(5):515-527. doi:10.1007/s00013-020-01564-y

Srivastava, T. K. (2021). Lifting automorphisms on Abelian varieties as derived autoequivalences. Archiv Der Mathematik. Springer Nature. https://doi.org/10.1007/s00013-020-01564-y

Srivastava, Tanya K. “Lifting Automorphisms on Abelian Varieties as Derived Autoequivalences.” Archiv Der Mathematik. Springer Nature, 2021. https://doi.org/10.1007/s00013-020-01564-y.

T. K. Srivastava, “Lifting automorphisms on Abelian varieties as derived autoequivalences,” Archiv der Mathematik, vol. 116, no. 5. Springer Nature, pp. 515–527, 2021.

Srivastava TK. 2021. Lifting automorphisms on Abelian varieties as derived autoequivalences. Archiv der Mathematik. 116(5), 515–527.

Srivastava, Tanya K. “Lifting Automorphisms on Abelian Varieties as Derived Autoequivalences.” Archiv Der Mathematik, vol. 116, no. 5, Springer Nature, 2021, pp. 515–27, doi:10.1007/s00013-020-01564-y.

All files available under the following license(s):

Copyright Statement: