Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three

被引：1
|
作者：
Kawakami, Tatsuro [1 ]
Nagaoka, Masaru [2 ]
机构：
[1] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan
[2] Gakushuin Univ, 1-5-1 Mejiro,Toshima Ku, Tokyo 1718588, Japan
来源：
JOURNAL OF ALGEBRA | 2023年 / 636卷
关键词：
Del Pezzo surfaces; Frobenius splitting; Positive characteristic; RATIONAL ELLIPTIC-SURFACES; MORDELL-WEIL GROUPS; CHARACTERISTIC-P;
D O I：
10.1016/j.jalgebra.2023.08.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we classify Du Val del Pezzo surfaces of Picard rank one in characteristic two and three. We also show that if a Du Val del Pezzo surface is Frobenius split, then a general anti-canonical member is smooth. Furthermore, in characteristic two, it is an ordinary elliptic curve.(c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码：603 / 625
页数：23
相关论文
共 50 条
12345