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
收藏
页码：323 / 336
页数：14
相关论文
共 50 条
  • [1] A remark about the rigidity of curves onK3 surfaces
    Mihai Halic
    Collectanea mathematica, 2010, 61 : 323 - 336
  • [2] ON CURVES ON K3 SURFACES
    MARTENS, G
    LECTURE NOTES IN MATHEMATICS, 1989, 1389 : 174 - 182
  • [3] CURVES ON K3 SURFACES
    Chen, Xi
    Gounelas, Frank
    Liedtke, Christian
    DUKE MATHEMATICAL JOURNAL, 2022, 171 (16) : 3283 - 3362
  • [4] Nodal curves on K3 surfaces
    Chen, Xi
    NEW YORK JOURNAL OF MATHEMATICS, 2019, 25 : 168 - 173
  • [5] Rational curves on K3 surfaces
    Chen, X
    JOURNAL OF ALGEBRAIC GEOMETRY, 1999, 8 (02) : 245 - 278
  • [6] On curves on K3 surfaces, II
    Martens, Gerriet
    ARCHIV DER MATHEMATIK, 2018, 110 (01) : 35 - 43
  • [7] CONSTRUCTION OF CURVES ON THE K3 SURFACES
    Benoist, Olivier
    ASTERISQUE, 2015, (367) : 219 - 253
  • [8] Rational curves on K3 surfaces
    Jun Li
    Christian Liedtke
    Inventiones mathematicae, 2012, 188 : 713 - 727
  • [9] Rational curves on K3 surfaces
    Li, Jun
    Liedtke, Christian
    INVENTIONES MATHEMATICAE, 2012, 188 (03) : 713 - 727
  • [10] On curves on K3 surfaces: III
    Gerriet Martens
    Archiv der Mathematik, 2020, 115 : 401 - 412
12345