MAT 545 - Complex Geometry

Foundational material and techniques in complex algebraic and differential geometry: Review of basic results in several complex variables/analytic geometry, sheaves and cohomology of sheaves, complex vector bundles, Chern classes, positivity, Kaehler manifolds, projective manifolds, Hodge decomposition for Kaehler manifolds, Kodaira vanishing theorem, Hard Lefschetz Theorem, divisors and line bundles, Bertini’s theorem, Lefschetz theorem on (1,1) classes, blowing up, Kodaira’s embedding theorem.

3 credits

Grading Letter graded (A, A-, B+, etc.)

Offered Fall

Repeatable May be repeated for credit.