18.117 | Spring 2005 | Graduate

Topics in Several Complex Variables

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.
Learning Resource Types
Lecture Notes
Problem Sets
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.)