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
  • [41] Towards the Green-Griffiths-Lang Conjecture
    Demailly, Jean-Pierre
    ANALYSIS AND GEOMETRY, 2015, 127 : 141 - 159
  • [42] BLOCH'S CONJECTURE FOR CATANESE AND BARLOW SURFACES
    Voisin, Claire
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2014, 97 (01) : 149 - 175
  • [43] Vojta's main conjecture for blowup surfaces
    McKinnon, D
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (01) : 1 - 12
  • [44] A PROOF OF SORENSEN'S CONJECTURE ON HERMITIAN SURFACES
    Beelen, Peter
    Datta, Mrinmoy
    Homma, Masaaki
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (04) : 1431 - 1441
  • [45] On Manin's conjecture for a family of Chastelet surfaces
    de la Breteche, Regis
    Browning, Tim
    Peyre, Emmanuel
    ANNALS OF MATHEMATICS, 2012, 175 (01) : 297 - 343
  • [46] Zhang's conjecture and squares of Abelian surfaces
    Pazuki, Fabien
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (9-10) : 483 - 486
  • [47] The square sieve and the Lang-Trotter conjecture
    Cojocaru, AC
    Fouvry, E
    Murty, MR
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2005, 57 (06): : 1155 - 1177
  • [48] A case of the dynamical Mordell-Lang conjecture
    Benedetto, Robert L.
    Ghioca, Dragos
    Kurlberg, Par
    Tucker, Thomas J.
    MATHEMATISCHE ANNALEN, 2012, 352 (01) : 1 - 26
  • [49] EXPLICIT FORMULAS AND THE LANG-TROTTER CONJECTURE
    MURTY, VK
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1985, 15 (02) : 535 - 551
  • [50] Xiao's conjecture on canonically fibered surfaces
    Chen, Xi
    ADVANCES IN MATHEMATICS, 2017, 322 : 1033 - 1084
12345