Lecture 1, Holomorphic functions of several complex variables.

Lecture 2, Presheaf and sheaf.

Lecture 3, Sheaf cohomology.

Lecture 4, Complex manifolds.

Lecture 5, Complex vector bundles.

Lecture 6 Holomorphic line bundle, I & II.

Lecture 7, Kahler manifolds.

Lecture 8, Hodge theory on complex manifolds.

Lecture 9, Kodaira embedding and vanishing theorems.