Topics in Complex Manifold Theory

3 credits

definition, examples incl. projective spaces, tori, type decompositions as (1, 0), (0, 1), holomorphic functions, holomorphic forms, sheaves, sheaf cohomology, Dolbeault cohomology, divisors, fiber bundles incl. line bundles and vector bundles, almost complex manifolds, Hermitian metrics, Kaehler metrics, connections