Algebraic Geometry, mostly over the complex numbers. There will be two parts for the course and they will be given in parallel.
The first part will be about algebraic curves. Topics I plan to cover are:
The second part will be about higher dimensional varieties. Topics I plan to cover are:
Upon successful completion of the course, the students will be able to:
I will borrow heavily from Shafarevich’s “Basic Algebraic Geometry” and Kirwan’s “Complex Algebraic Curves”.