Low-dimensional projective manifolds with nef tangent bundle in positive characteristic

被引:2
|
作者
Watanabe, Kiwamu [1 ,2 ,3 ]
机构
[1] Saitama Univ, Grad Sch Sci & Engn, Course Math, Program Math,Sakura Ku, Shimo Okubo 255, Saitama 3388570, Japan
[2] Saitama Univ, Grad Sch Sci & Engn, Course Math, Program Elect,Sakura Ku, Shimo Okubo 255, Saitama 3388570, Japan
[3] Saitama Univ, Grad Sch Sci & Engn, Course Math, Program Informat,Sakura Ku, Shimo Okubo 255, Saitama 3388570, Japan
关键词
Homogeneous manifold; positive characteristic; projective manifold with nef tangent bundle; COMPACT KAHLER-MANIFOLDS; THREEFOLDS; VARIETIES; SURFACES;
D O I
10.1080/00927872.2016.1245740
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We classify smooth projective varieties with nef tangent bundle in positive characteristic, when the varieties are surfaces or Fano 3-folds. Furthermore, some related problems will be discussed.
引用
收藏
页码:3768 / 3777
页数:10
相关论文
共 50 条
  • [1] Projective varieties with nef tangent bundle in positive characteristic
    Kanemitsu, Akihiro
    Watanabe, Kiwamu
    COMPOSITIO MATHEMATICA, 2023, 159 (09) : 1974 - 1999
  • [2] PROJECTIVE MANIFOLDS WHOSE TANGENT BUNDLE CONTAINS A STRICTLY NEF SUBSHEAF
    Liu, Jie
    Ou, Wenhao
    Yang, Xiaokui
    JOURNAL OF ALGEBRAIC GEOMETRY, 2022, : 1 - 53
  • [3] Fano 4-folds with nef tangent bundle in positive characteristic
    Takahashi, Yuta
    Watanabe, Kiwamu
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (07) : 2750 - 2759
  • [4] Deformations of the tangent bundle of projective manifolds
    Peternell, Thomas
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2020, 31 (11)
  • [5] Projective manifolds with splitting tangent bundle, I
    Campana, F
    Peternell, T
    MATHEMATISCHE ZEITSCHRIFT, 2002, 241 (03) : 613 - 637
  • [6] Projective manifolds whose tangent bundle is Ulrich
    Benedetti, Vladimiro
    Montero, Pedro
    Prieto-Montanez, Yulieth
    Troncoso, Sergio
    JOURNAL OF ALGEBRA, 2023, 630 : 248 - 273
  • [7] Projective manifolds with splitting tangent bundle, I
    F. Campana
    T. Peternell
    Mathematische Zeitschrift, 2002, 241 : 613 - 637
  • [8] A DECOMPOSITION THEOREM FOR PROJECTIVE MANIFOLDS WITH NEF ANTICANONICAL BUNDLE
    Cao, Junyan
    Hoering, Andreas
    JOURNAL OF ALGEBRAIC GEOMETRY, 2019, 28 (03) : 567 - 597
  • [9] Fano manifolds of coindex three admitting nef tangent bundle
    Watanabe, Kiwamu
    GEOMETRIAE DEDICATA, 2021, 210 (01) : 165 - 178
  • [10] Fano manifolds with nef tangent bundle and large Picard number
    Watanabe, Kiwamu
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2015, 91 (06) : 89 - 94