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Automorphisms of del Pezzo surfaces in characteristic 2

Igor Dolgachev and Gebhard Martin
Vol. 19 (2025), No. 4, 715–761
DOI: 10.2140/ant.2025.19.715
Abstract

We classify the automorphism groups of del Pezzo surfaces of degrees 1 and 2 over an algebraically closed field of characteristic 2. This finishes the classification of automorphism groups of del Pezzo surfaces in all characteristics.

Keywords
del Pezzo surfaces, automorphisms, characteristic 2, Cremona group
Mathematical Subject Classification
Primary: 14E07, 14G17, 14J26, 14J50
Milestones
Received: 28 May 2023
Revised: 14 February 2024
Accepted: 29 March 2024
Published: 24 March 2025
Authors
Igor Dolgachev
Department of Mathematics
University of Michigan
Ann Arbor, MI
United States
Gebhard Martin
Mathematisches Institut
Universität Bonn
Bonn
Germany
© 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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