Topics in Several Complex Variables

A diagram used to prove an important lemma.

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

Instructor(s)

MIT Course Number

18.117

As Taught In

Spring 2005

Level

Graduate

Cite This Course

Course Features

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.

Guillemin, Victor. 18.117 Topics in Several Complex Variables, Spring 2005. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-117-topics-in-several-complex-variables-spring-2005 (Accessed). License: Creative Commons BY-NC-SA


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