Qℓ-cohomology projective planes from Enriques surfaces in odd characteristic

被引：0

作者：

Schuett, Matthias ^{[1
,2
]}

机构：

[1] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany

[2] Leibniz Univ Hannover, Riemann Ctr Geometry & Phys, Appelstr 2, D-30167 Hannover, Germany

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2024年 / 35卷 / 04期

关键词：

Enriques surface; Root type; Extremal rational elliptic surface; RATIONAL ELLIPTIC-SURFACES; CHARACTERISTIC-P; POINTS;

D O I：

10.1016/j.indag.2024.01.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a complete classification of Q & ell;-cohomology projective planes with isolated ADE-singularities and numerically trivial canonical bundle in odd characteristic. This leads to a beautiful relation with certain Enriques surfaces which parallels the situation in characteristic zero, yet displays intriguing subtleties. (c) 2024 The Author(s). Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG). This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页码：744 / 767

页数：24

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