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切丛具有正性的射影流形(刘杰、欧文浩)
2023-01-13 | 编辑:

  该系列工作刻画和分类了切丛具有特定正性的全纯叶状结构和射影流形的整体几何结构。具体成果包括,第一陈类为nef的叶状结构研究,推广了Cao-Hoering的结构定理;切丛包含strictly nef子层的射影流形研究,延伸了Andreatta-Wisniewski定理;Fano流形切丛的big性判则。

 
  相关论文:

  [1]    Baohua Fu and Jie Liu. Normalised tangent bundle, varieties with small codegree and pseudoeffective threshold, accepted by Journal of the Institute of Mathematics of Jussieu. 

  [2]    Andreas H?ring, Jie Liu and Feng Shao. Examples of Fano manifolds with non-pseudoe?ective tangent bundle. Journal of the London Mathematical Society 106 (2022), no. 1, 27-59. 

  [3]    Jie Liu. On moment map and bigness of tangent bundles of G-varieties, accepted by Algebra & Number Theory. 

  [4]    Jie Liu, Wenhao Ou, Xiaokui Yang. Projective manifolds whose tangent bundle contains a strictly nef subsheaf, accepted by Journal of Algebraic Geometry. 

  [5]    Wenhao Ou. Foliations whose first Chern class is nef, accepted by Journal of the European Mathematical Society.
   
  完成人:
  刘杰
  Email: jliu@amss.ac.cn
  欧文浩
  Email:  wenhaoou@amss.ac.cn
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