中科院数学与系统科学研究院

数学研究所

 

代数几何研讨班

 

 

报告人   方延博 博士法国巴黎七大

  目:Semipositive line bundle on projective varieties over non-Archimedean fields

   间:2019.09.04(星期13:00-15:00

  点:数学院南楼N213

 要:Non-Archimedean analytic geometry is an analogue of complex geometry. This theory studies analytic spaces, not defined over C but over a complete ultrametric valued field k. We focus on the analogue of the notion  and properties of semipositive metric on an ample line bundle in the non-A world. Difficulties arise as differentio-geometric tools are no longer available. Instead,  we use tools from SCV. First part: (brief) Introduction to Berkovich theory of analytic spaces, notions of semipositivity of a metric on an ample line bundle, normed section algebra and its analytic spectrum. Second part: The normed extension property for restricted sections; the continuity property of semipositive envelop metric.

附件
相关文档