研讨班报告

学术报告:Characterizations of projective spaces and quadrics by strictly nef bundles

发布时间:2016-10-10

中科院数学与系统科学研究院

数学研究所

 

学术报告会

 

 

报告人:  李 铎 博士清华数学科学中心)

  Characterizations of projective spaces and quadrics by strictly nef bundles

  2016.10.13星期四, 10 :00-11:00

  点:数学院南楼N913

Abstract:

In this talk, we will show that if the tangent bundle of a smooth projective variety is strictly nef, then it is isomorphic to a projective space. A similar characterization will also be given for quadrics. We also prove that on elliptic curves, strictly nef vector bundles are ample, whereas there exist Hermitian flat and strictly nef  vector bundles on any smooth curve with genus at least 2. This is a joint work with Xiaokui Yang.


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