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）
题 目：Semipositive line bundle on projective varieties over non-Archimedean fields
时 间：2019.09.04（星期三）13:00-15:00
地 点：数学院南楼N213室
摘 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.
