A simple proof that rational curves on K3 are nodal

被引:0
|
作者
Xi Chen
机构
[1] Department of Mathematics,
[2] South Hall,undefined
[3] Room 6607,undefined
[4] University of California,undefined
[5] Santa Barbara,undefined
[6] CA 93106,undefined
[7] USA (e-mail: xichen@math.ucsb.edu) ,undefined
来源
Mathematische Annalen | 2002年 / 324卷
关键词
Rational Curve; Simple Proof;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
页码:71 / 104
页数:33
相关论文
共 10 条
  • [1] K3 surfaces, rational curves, and rational points
    Baragar, Arthur
    McKinnon, David
    JOURNAL OF NUMBER THEORY, 2010, 130 (07) : 1470 - 1479
  • [2] 24 rational curves on K3 surfaces
    Rams, Slawomir
    Schuett, Matthias
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023, 25 (06)
  • [3] The number of rational curves on K3 surfaces
    Wu, Baosen
    ASIAN JOURNAL OF MATHEMATICS, 2007, 11 (04) : 635 - 650
  • [4] Rational curves on lattice-polarised K3 surfaces
    Chen, Xi
    Gounelas, Frank
    Liedtke, Christian
    ALGEBRAIC GEOMETRY, 2020, 9 (04): : 443 - 475
  • [5] Low degree rational curves on quasi-polarized K3 surfaces
    Rams, Slawomir
    Schuett, Matthias
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2025, 229 (02)
  • [6] A simple method for implicitizing rational curves and surfaces
    Wang, DM
    JOURNAL OF SYMBOLIC COMPUTATION, 2004, 38 (01) : 899 - 914
  • [7] Classification of Picard lattices of K3 surfaces
    Nikulin, V. V.
    IZVESTIYA MATHEMATICS, 2018, 82 (04) : 752 - 816
  • [8] Strata of vector spaces of forms in R = k[x, y], and of rational curves in ℙk
    Anthony Iarrobino
    Bulletin of the Brazilian Mathematical Society, New Series, 2014, 45 : 711 - 725
  • [9] Kahlerian K3 surfaces and Niemeier lattices, II
    Nikulin, Viacheslav V.
    DEVELOPMENT OF MODULI THEORY - KYOTO 2013, 2016, 69 : 421 - 471
  • [10] Strata of vector spaces of forms in R = k[x, y], and of rational curves in Pk
    Iarrobino, Anthony
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2014, 45 (04): : 711 - 725