# Topics in Several Complex Variables

A diagram used to prove an important lemma in Kaehler geometry: the existence of a potential function. (Courtesy of Jonathan Campbell.)

### Instructor(s)

Prof. Victor Guillemin

### MIT Course Number

18.117

### As Taught In

Spring 2005

### Level

Graduate

###

Some Description
Instructor(s) | Prof.
As Taught In | Spring 2002
Course Number | 2.24
Level | Undergraduate/Graduate
Features | Lecture Notes, Student Work

## Course Description

## Course Features

- Lecture notes
- Assignments: problem sets (no solutions)

## Course Description

This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems. Some results and tools on deformation and uniformization of complex manifolds are also discussed.

## Related Content

## Course Collections

See related courses in the following collections:

### Find Courses by Topic

- Topology and Geometry
- Mathematical Analysis
- Algebra and Number Theory

Victor Guillemin. 18.117 Topics in Several Complex Variables. Spring 2005. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: Creative Commons BY-NC-SA.

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