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方延博 博士：Semipositive line bundle on projective varieties over non-Archimedean fields

本站小编 Free考研/2020-05-19


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 方延博 博士, 法国巴黎七大
Inviter:
Title:
 Semipositive line bundle on projective varieties over non-Archimedean fields
Time & Venue:
 2019.09.04 13:00-15:00 N213
Abstract:
 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.

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