My question is very specific. I'm studying Chapter 8 of Fulton's algebraic curves book and I would like to find another book (or online sources) which covers these contents: Divisors, the Vector Spaces $L(D)$ and Derivations and Differentials. I'm looking for beginner's books of the same level and language of Fulton's book but with more detailed explanations, examples and so on. I'm talking about specifically of these contents. I find Fulton's book very concise.
I really need help, if anyone could help me, I would be very very grateful!
Thanks a lot!
The theory is about the same in the complex analytic case, and in fact that setting is the original motivation, so it's helpful to study it there. I like (with some reservations) Rick Miranda's book "Algebraic Curves and Riemann Surfaces" for this.