Ma 111A. Several complex variables
MWF 12:00 - 12:55 pm 187 LINDE
About this course
This course is about several complex variables: the study of holomorphic functions
in C^n. Several complex variables combines many different branches of mathematics:
analysis, partial differential equations, differential geometry,
algebraic geometry and homological algebra. This course will be mostly be about
plurisubharmonic functions, solution of d-bar equation on pseudoconvex domains, classifications of domains of holomorphy,
zero sets of holomorphic functions.
Knowledge of real analysis and one complex variable will be assumed.
- Hormander. An introduction to complex analysis in several variables
- Krantz. Function Theory of Several Complex Variables
- Taylor. Several Complex Variables with Connections to Algebraic Geometry and Lie Groups