On the projective normality of line bundles of extremal degree

被引:1
|
作者
Wang, Jie [1 ]
机构
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
关键词
MAXIMAL RANK CONJECTURE; CURVES; DIVISORS; SERIES; PROOF;
D O I
10.1007/s00208-012-0809-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We propose a new method, using deformation theory, to study the maximal rank conjecture. For line bundles of extremal degree, which can be viewed as the first case to test the conjecture, we prove that maximal rank conjecture holds by our new method.
引用
收藏
页码:1007 / 1024
页数:18
相关论文
共 50 条
  • [1] On the projective normality of line bundles of extremal degree
    Jie Wang
    [J]. Mathematische Annalen, 2013, 355 : 1007 - 1024
  • [2] Projective normality of abelian surfaces given by primitive line bundles
    Iyer, JN
    [J]. MANUSCRIPTA MATHEMATICA, 1999, 98 (02) : 139 - 153
  • [3] Projective normality of abelian surfaces¶given by primitive line bundles
    Jaya N. Iyer
    [J]. manuscripta mathematica, 1999, 98 : 139 - 153
  • [4] ON THE PROJECTIVE-NORMALITY OF THE ADJUNCTION BUNDLES
    ANDREATTA, M
    SOMMESE, AJ
    [J]. COMMENTARII MATHEMATICI HELVETICI, 1991, 66 (03) : 362 - 367
  • [5] Projective normality of varieties of small degree
    Alzati, A
    Bertolini, M
    Besana, GM
    [J]. COMMUNICATIONS IN ALGEBRA, 1997, 25 (12) : 3761 - 3771
  • [6] The projective normality of smooth degree nine varieties
    Alzati, A
    Besana, GM
    [J]. COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY: PROCEEDINGS OF THE FERRARA MEETING IN HONOR OF MARIO FIORENTINI, 1999, 206 : 1 - 4
  • [7] On the Projective Normality of Smooth Surfaces of Degree Nine
    Gian Mario Besana
    Sandra Di Rocco
    [J]. Geometriae Dedicata, 1999, 74 : 1 - 21
  • [8] Principal bundles on the projective line
    V. B. Mehta
    S. Subramanian
    [J]. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2002, 112 : 393 - 397
  • [9] A NOTE ON PROJECTIVE LINE BUNDLES
    HAWLEY, NS
    [J]. ANNALS OF MATHEMATICS, 1953, 58 (02) : 366 - 370
  • [10] Principal bundles on the projective line
    Mehta, VB
    Subramanian, S
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2002, 112 (03): : 393 - 397