---
_id: '9099'
abstract:
- lang: eng
  text: 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.
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.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tanya K
  full_name: Srivastava, Tanya K
  id: 4D046628-F248-11E8-B48F-1D18A9856A87
  last_name: Srivastava
citation:
  ama: Srivastava TK. Lifting automorphisms on Abelian varieties as derived autoequivalences.
    <i>Archiv der Mathematik</i>. 2021;116(5):515-527. doi:<a href="https://doi.org/10.1007/s00013-020-01564-y">10.1007/s00013-020-01564-y</a>
  apa: Srivastava, T. K. (2021). Lifting automorphisms on Abelian varieties as derived
    autoequivalences. <i>Archiv Der Mathematik</i>. Springer Nature. <a href="https://doi.org/10.1007/s00013-020-01564-y">https://doi.org/10.1007/s00013-020-01564-y</a>
  chicago: Srivastava, Tanya K. “Lifting Automorphisms on Abelian Varieties as Derived
    Autoequivalences.” <i>Archiv Der Mathematik</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00013-020-01564-y">https://doi.org/10.1007/s00013-020-01564-y</a>.
  ieee: T. K. Srivastava, “Lifting automorphisms on Abelian varieties as derived autoequivalences,”
    <i>Archiv der Mathematik</i>, vol. 116, no. 5. Springer Nature, pp. 515–527, 2021.
  ista: Srivastava TK. 2021. Lifting automorphisms on Abelian varieties as derived
    autoequivalences. Archiv der Mathematik. 116(5), 515–527.
  mla: Srivastava, Tanya K. “Lifting Automorphisms on Abelian Varieties as Derived
    Autoequivalences.” <i>Archiv Der Mathematik</i>, vol. 116, no. 5, Springer Nature,
    2021, pp. 515–27, doi:<a href="https://doi.org/10.1007/s00013-020-01564-y">10.1007/s00013-020-01564-y</a>.
  short: T.K. Srivastava, Archiv Der Mathematik 116 (2021) 515–527.
date_created: 2021-02-07T23:01:13Z
date_published: 2021-05-01T00:00:00Z
date_updated: 2023-08-07T13:42:38Z
day: '01'
department:
- _id: TaHa
doi: 10.1007/s00013-020-01564-y
ec_funded: 1
external_id:
  arxiv:
  - '2001.07762'
  isi:
  - '000612580200001'
intvolume: '       116'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2001.07762
month: '05'
oa: 1
oa_version: Preprint
page: 515-527
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Archiv der Mathematik
publication_identifier:
  eissn:
  - '14208938'
  issn:
  - 0003889X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lifting automorphisms on Abelian varieties as derived autoequivalences
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 116
year: '2021'
...