18.117 Topics in Several Complex Variables, Spring 2005
A diagram used to prove an important lemma in Kaehler geometry: the existence of a potential function. (Courtesy of Jonathan Campbell.)
課程重點
This course features a complete set of lecture notes and a list of assignments.
課程描述
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.