Robin Hartshorne

I struggled through its first three chapters during two grad courses at UIUC. I didn't quite understand what I was doing at the very end but I found the whole thing enjoyable and sometimes even fun.

This is the main reference when it comes to Algebraic Geometry. It's brief and it goes to the point. It's not an encyclpedia but a text book. I recommend it mixed with a few pieces from Shafarevich and Mumford, a good book on commutative algebra (I use Atiyah's), and some salt.

Oh! And remember: If you don't find a certain basic result, it's one of the exercises.… (més)