On the most algebraic K3 surfaces and the most extremal log Enriques surfaces

被引：0

作者：

Oguiso, K ^{[1
]}

Zhang, DQ ^{[1
]}

机构：

[1] NATL UNIV SINGAPORE,DEPT MATH,SINGAPORE 119260,SINGAPORE

来源：

AMERICAN JOURNAL OF MATHEMATICS | 1996年 / 118卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall characterize the unique K3 surface of discriminant 3 or 4, called the most algebraic K3 surfaces by Vinberg, in terms of the fixed locus of an automorphism on it. Based on this result, we show that there is, up to isomorphisms, only one rational log Eriques surface of Type D-19 and one of Type A(19).

引用

页码：1277 / 1297

页数：21

共 50 条

[41] ON ALGEBRAIC K3 SURFACES WITH FINITE AUTOMORPHISM-GROUPS
KONDO, S
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1986, 62 (09) : 353 - 355
[42] N-point deformation of algebraic K3 surfaces
Kim, H
Lee, CY
JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (03) : 1389 - 1395
[43] Classification of Enriques log surfaces with δ=1
Kudryavtsev, SA
MATHEMATICAL NOTES, 2004, 76 (1-2) : 81 - 89
[44] The classification of algebraic surfaces by Castelnuovo and Enriques
Gray, J
MATHEMATICAL INTELLIGENCER, 1999, 21 (01): : 59 - 66
[45] ALGEBRAIC VARIETIES GENERALIZING ENRIQUES SURFACES
GODEAUX, L
BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1968, 54 (11): : 1401 - &
[46] A Uniform Bound on the Brauer Groups of Certain log K3 Surfaces
Bright, Martin
Lyczak, Julian
MICHIGAN MATHEMATICAL JOURNAL, 2019, 68 (02) : 377 - 384
[47] LECTURES ON K3- AND ENRIQUES SURFACES
BARTH, W
LECTURE NOTES IN MATHEMATICS, 1985, 1124 : 21 - 57
[48] THE INFLUENCE OF HEIGHT ON DEGENERATIONS OF ALGEBRAIC-SURFACES OF TYPE K3
RUDAKOV, AN
TSINK, T
SHAFAREVICH, IR
MATHEMATICS OF THE USSR-IZVESTIYA, 1982, 46 (01): : 119 - 135
[49] K3 surfaces with algebraic period ratios have complex multiplication
Tretkoff, Paula
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2015, 11 (05) : 1709 - 1724
[50] An isoceny of K3 surfaces
Van Geemen, B
Top, J
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2006, 38 : 209 - 223

← 1 2 3 4 5 →