On Lang's conjecture for surfaces of general type

被引：0
|
作者：
Kang, CX [1 ]
机构：
[1] Univ Texas, Odessa, Ukraine
来源：
COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 02期
关键词：
rational curves; general type varieties; BMY inequality;
D O I：
10.1081/AGB-120017351
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let m be a nonnegative integer. We explicitly bound the number of rational curves with arithmetic genus no greater than m on a surface of general type by geometric invariants of the surface. We also briefly discuss the possibility of bounding all rational curves. lying on, a surface of general type in IP3.
引用
收藏
页码：945 / 957
页数：13
相关论文
共 50 条
  • [1] On Lang's conjecture for some product-quotient surfaces
    Grivaux, Julien
    Velasquez, Juliana Restrepo
    Rousseau, Erwan
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2018, 18 (04) : 1483 - 1501
  • [2] Surfaces of Albanese general type and the Severi conjecture
    Manetti, M
    MATHEMATISCHE NACHRICHTEN, 2003, 261 : 105 - 122
  • [3] Lang's height conjecture and Szpiro's conjecture
    Silverman, Joseph H.
    NEW YORK JOURNAL OF MATHEMATICS, 2010, 16 : 1 - 12
  • [4] Xiao's conjecture for general fibred surfaces
    Angel Barja, Miguel
    Gonzalez-Alonso, Victor
    Carlos Naranjo, Juan
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2018, 739 : 297 - 308
  • [5] Lang maps and Harris's conjecture
    Abramovich, D
    ISRAEL JOURNAL OF MATHEMATICS, 1997, 101 (1) : 85 - 91
  • [6] Lang maps and Harris’s conjecture
    Dan Abramovich
    Israel Journal of Mathematics, 1997, 101 : 85 - 91
  • [7] On the Shafarevich conjecture for surfaces of general type over function fields
    Bedulev, E
    Viehweg, E
    INVENTIONES MATHEMATICAE, 2000, 139 (03) : 603 - 615
  • [8] On the Shafarevich conjecture for surfaces of general type over function fields
    Egor Bedulev
    Eckart Viehweg
    Inventiones mathematicae, 2000, 139 : 603 - 615
  • [9] INTERSECTIONS IN JET SPACES AND A CONJECTURE OF S LANG
    BUIUM, A
    ANNALS OF MATHEMATICS, 1992, 136 (03) : 557 - 567
  • [10] SERGE LANG CONJECTURE
    LIARDET, P
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1974, 279 (12): : 435 - 437
12345