Stony Brook University 3 credits MAT
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.)
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