Course Title:
Complex Manifolds
Course Description:
Introduces complex manifolds. Discusses the elementary local theory in several variables including Cauchy’s integral formula, Hartog’s extension theorem, the Weierstrass preparation theorem, and Riemann’s extension theorem. The global theory includes the definition of complex manifolds, sheaf cohomology, line bundles and divisors, Kodaira’s vanishing theorem, Kodaira’s embedding theorem, and Chow’s theorem on complex subvarieties of projective space. Special examples of dimension one and two illustrate the general theory.
Fall Offering:
None
Lab/Coreq 1:
Spring Offering:
None
Lab/Coreq 2:
Summer Offering:
None
Lab/Coreq Remarks:
Summer 1 Offering:
None
Prerequisite 1:
Summer 2 Offering:
None
Prerequisite 2:
Cross-Listed Course 1:
Prerequisite 3:
Cross-Listed Course 2:
Prerequisite 4:
Cross-Listed Course 3:
Prerequisite 5:
Cross-Listed Course 4:
Prerequisite Remarks:
Cross-Listed Course 5:
Repeatable:
N
