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

共 50 条

[11] Cohomology of the moduli space of degree two Enriques surfaces
Fortuna, Mauro
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2023, 24 (02) : 839 - 878
[12] Supersingular K3 surfaces in odd characteristic and sextic double planes
Ichiro Shimada
Mathematische Annalen, 2004, 328 : 451 - 468
[13] Supersingular K3 surfaces in odd characteristic and sextic double planes
Shimada, I
MATHEMATISCHE ANNALEN, 2004, 328 (03) : 451 - 468
[14] An Enriques classification theorem for surfaces in positive characteristic
Eugenia Ferrari
manuscripta mathematica, 2019, 160 : 173 - 185
[15] Canonical coverings of Enriques surfaces in characteristic 2
Matsumoto, Yuya
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2022, 74 (03) : 849 - 872
[16] UNIRATIONALITY OF ENRIQUES SURFACES IN CHARACTERISTIC-2
BLASS, P
COMPOSITIO MATHEMATICA, 1982, 45 (03) : 393 - 398
[17] An Enriques classification theorem for surfaces in positive characteristic
Ferrari, Eugenia
MANUSCRIPTA MATHEMATICA, 2019, 160 (1-2) : 173 - 185
[18] A NOTE ON ENRIQUES SURFACES IN CHARACTERISTIC-2
KATSURA, T
COMPOSITIO MATHEMATICA, 1982, 47 (02) : 207 - 216
[19] CUBIC SURFACES IN AG(3,Q) AND PROJECTIVE-PLANES OF ORDER Q3
SHERK, FA
GEOMETRIAE DEDICATA, 1990, 34 (01) : 1 - 11
[20] The existence of maximal (q2, 2)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic
Thomas Honold
Michael Kiermaier
Designs, Codes and Cryptography, 2013, 68 : 105 - 126

← 1 2 3 4 5 →