Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups

被引：7

作者：

Nikulin, V. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow 117901, Russia

来源：

IZVESTIYA MATHEMATICS | 2015年 / 79卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

K3; surface; Kahlerian surface; automorphism group; degeneration; singularities; Picard lattice; integral quadratic form;

D O I：

10.1070/IM2015v079n04ABEH002760

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the results of [1]-[3] on Kahlerian K3 surfaces and Niemeier lattices, we classify degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups with emphasis on degenerations of codimension 1.

引用

页码：740 / 794

页数：55

共 50 条

[1] Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. II
Nikulin, V. V.
[J]. IZVESTIYA MATHEMATICS, 2016, 80 (02) : 359 - 402
[2] Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III
Nikulin, V. V.
[J]. IZVESTIYA MATHEMATICS, 2017, 81 (05) : 985 - 1029
[3] Classification of Degenerations and Picard Lattices of Kahlerian K3 Surfaces with Symplectic Automorphism Group C4
Nikulin, Viacheslav V.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2019, 307 (01) : 130 - 161
[4] Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with symplectic automorphism group D6
Nikulin, V. V.
[J]. IZVESTIYA MATHEMATICS, 2019, 83 (06) : 1201 - 1233
[5] Classification of Degenerations of Codimension ≤ 5 and Their Picard Lattices for Kahlerian K3 Surfaces with the Symplectic Automorphism Group (C2)2
Nikulin, Viacheslav V.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2023, 320 (01) : 172 - 225
[6] ALGEBRAIC K3 SURFACES WITH FINITE AUTOMORPHISM-GROUPS
KONDO, S
[J]. NAGOYA MATHEMATICAL JOURNAL, 1989, 116 : 1 - 15
[7] ON ALGEBRAIC K3 SURFACES WITH FINITE AUTOMORPHISM-GROUPS
KONDO, S
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1986, 62 (09) : 353 - 355
[8] A survey of finite groups of symplectic automorphisms of K3 surfaces
Kondo, Shigeyuki
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (05)
[9] K3 surfaces with a symplectic automorphism of order 11
Dolgachev, Igor V.
Keum, JongHae
[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009, 11 (04) : 799 - 818
[10] K3 surfaces with a symplectic automorphism of order 4
Piroddi, Benedetta
[J]. MATHEMATISCHE NACHRICHTEN, 2024, 297 (06) : 2302 - 2332

← 1 2 3 4 5 →