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.)


MIT Course Number


As Taught In

Spring 2005



Cite This Course

Course Description

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.

Related Content

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

For more information about using these materials and the Creative Commons license, see our Terms of Use.