Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics

被引：5

作者：

Dolgachev, Igor ^{[1
]}

Martin, Gebhard ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, 525 East Univ Ave, Ann Arbor, MI 48109 USA

[2] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

ADVANCES IN MATHEMATICS | 2022年 / 400卷

关键词：

Automorphisms; Rational elliptic surfaces; Rational quasi-elliptic surfaces; MORDELL-WEIL GROUPS; ENRIQUES SURFACES; CHARACTERISTIC-P; FIBERS; CONFIGURATIONS;

D O I：

10.1016/j.aim.2022.108274

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the groups of automorphisms of rational algebraic surfaces that admit a relatively minimal pencil of curves of arithmetic genus one over an algebraically closed field of arbitrary characteristic. In particular, we classify such surfaces that admit non-trivial automorphisms that act trivially on the Picard group. As an application, we classify classical Enriques surfaces in characteristic 2 that admit non-trivial numerically trivial automorphisms.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：46

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