18.117 Topics in Several Complex Variables

Spring 2005

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.)

Course Highlights

This course features a complete set of lecture notes and a list of assignments.

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.
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Prof. Victor Guillemin

Course Meeting Times

Three sessions / week
1 hour / session