I am interested to pursue my graduate studies in complex geometry but sadly I did not find a lot of references regarding the learning roadmap for complex geometry on the website. (most of them are algebraic geometry) I wish to study myself a bit as preparation before going into the graduate program. What prerequisite do I actually need so that in future I can read books by Philip Griffith? Currently, I have studied/taken courses in

1. Modern Algebra (up to field extension)

2. Differential Manifold, Riemannian Geometry

3. Complex, Real Functional Analysis.

4. Basic PDE.

I am interested to pursue my graduate studies in complex geometry but sadly I did not find a lot of references regarding the learning roadmap for complex geometry on the website. (most of them are algebraic geometry) I wish to study myself a bit as preparation before going into the graduate program. What prerequisite do I actually need so that in future I can read books by Philip Griffith? Currently, I have studied/taken courses in

1. Modern Algebra (up to field extension)

2. Differential Manifold, Riemannian Geometry

3. Complex, Real Functional Analysis.

4. Basic PDE.

5. Topology, Algebraic Topology (First 2 chapters of Hatcher)