Classification of Involutions on Enriques Surfaces

被引：2

作者：

Ito, Hiroki ^{[1
]}

Ohashi, Hisanori ^{[2
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

[2] Tokyo Univ Sci, Fac Sci & Technol, Dept Math, Chiba 2788510, Japan

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2014年 / 63卷 / 01期

关键词：

AUTOMORPHISMS; PERIODS;

D O I：

10.1307/mmj/1395234363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the classification of involutions on Enriques surfaces. We classify them into 18 types with the help of lattice theory due to Nikulin. We also give geometric realizations to all types.

引用

页码：159 / 188

页数：30

共 50 条

[31] Arithmetic of singular Enriques surfaces
Hulek, Klaus
Schuett, Matthias
ALGEBRA & NUMBER THEORY, 2012, 6 (02) : 195 - 230
[32] ELLIPTIC FIBERS ON ENRIQUES SURFACES
ANGERMULLER, G
BARTH, W
COMPOSITIO MATHEMATICA, 1982, 47 (03) : 317 - 332
[33] On automorphisms of Enriques surfaces and their entropy
Matsumoto, Yuya
Ohashi, Hisanori
Rams, Slawomir
MATHEMATISCHE NACHRICHTEN, 2018, 291 (13) : 2084 - 2098
[34] ON THE BRAUER GROUP OF ENRIQUES SURFACES
Beauville, Arnaud
MATHEMATICAL RESEARCH LETTERS, 2009, 16 (5-6) : 927 - 934
[35] On the Shafarevich conjecture for Enriques surfaces
Takamatsu, Teppei
MATHEMATISCHE ZEITSCHRIFT, 2021, 298 (1-2) : 489 - 495
[36] Enriques surfaces with eight nodes
M. Mendes Lopes
R. Pardini
Mathematische Zeitschrift, 2002, 241 : 673 - 683
[37] ENRIQUES SURFACES AND QUADRIC NETS
VERRA, A
ANNALI DI MATEMATICA PURA ED APPLICATA, 1982, 130 : 307 - 320
[38] Enriques surfaces with eight nodes
Lopes, MM
Pardini, R
MATHEMATISCHE ZEITSCHRIFT, 2002, 241 (04) : 673 - 683
[39] Borcherds' Method for Enriques Surfaces
Brandhorst, Simon
Shimada, Ichiro
MICHIGAN MATHEMATICAL JOURNAL, 2022, 71 (01) : 3 - 18
[40] ON THE PICARD GROUP OF ENRIQUES SURFACES
COSSEC, FR
MATHEMATISCHE ANNALEN, 1985, 271 (04) : 577 - 600

← 1 2 3 4 5 →