A remark about the rigidity of curves on K3 surfaces

被引：2

作者：

Halic, Mihai ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

COLLECTANEA MATHEMATICA | 2010年 / 61卷 / 03期

关键词：

K3; surfaces; nodal curves; stable bundles; stable maps; BUNDLES; NODES;

D O I：

10.1007/BF03191236

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article studies the geometry of curves on K3 surfaces. Its aim is to give an alternative proof to the fact that there are rational curves on every projective K3 surface.

引用

页码：323 / 336

页数：14

共 50 条

[21] The number of rational curves on K3 surfaces
Wu, Baosen
ASIAN JOURNAL OF MATHEMATICS, 2007, 11 (04) : 635 - 650
[22] CONSTRUCTING RATIONAL CURVES ON K3 SURFACES
Bogomolov, Fedor
Hassett, Brendan
Tschinkel, Yuri
DUKE MATHEMATICAL JOURNAL, 2011, 157 (03) : 535 - 550
[23] Rational curves on elliptic K3 surfaces
Tayou, Salim
MATHEMATICAL RESEARCH LETTERS, 2020, 27 (04) : 1237 - 1247
[24] 24 rational curves on K3 surfaces
Rams, Slawomir
Schuett, Matthias
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023, 25 (06)
[25] The moduli of singular curves on K3 surfaces
Kemeny, Michael
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2015, 104 (05): : 882 - 920
[26] Nodal elliptic curves on K3 surfaces
Nathan Chen
François Greer
Ruijie Yang
Mathematische Annalen, 2023, 386 : 2349 - 2370
[27] Rational Curves on Mg and K3 Surfaces
Benzo, Luca
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (15) : 4179 - 4214
[28] Maximal variation of curves on K3 surfaces
Dutta, Yajnaseni
Huybrechts, Daniel
TUNISIAN JOURNAL OF MATHEMATICS, 2022, 4 (03) : 443 - 464
[29] Moduli of nodal curves on K3 surfaces
Ciliberto, Ciro
Flamini, Flaminio
Galati, Concettina
Knutsen, Andreas Leopold
ADVANCES IN MATHEMATICS, 2017, 309 : 624 - 654
[30] Curves on K3 surfaces and modular forms
Maulik, D.
Pandharipande, R.
Thomas, R. P.
JOURNAL OF TOPOLOGY, 2010, 3 (04) : 937 - 996

← 1 2 3 4 5 →