Analytic methods in algebraic geometry
Student No.:20
Time:Tue & Thu 15:20-16:55, Aug.2-30
Instructor:肖建 Xiao Jian  
Place:Conference Room 2, Jin Chun Yuan West Bldg.
Starting Date:2018-8-2
Ending Date:2018-8-30

We give an introduction to some analytic methods in complex algebraic geometry, including singular metrics, multiplier ideal sheaves, Hormander’s L2 estimates, complex Monge-Ampere equations, etc. We then discuss their applications in the construction of holomorphic sections, which include the following topics: effective very ampleness of adjoint bundles, Matsusaka’s big theorem, the invariance of plurigenera, etc.


Basics in complex geometry