I'm trying to understand a bit about chern classes/chern characters (in the algebraic setting, for varieties over C say) and was hoping to find some notes describing some well-known properties of ch (e.g. the relation between the support of a coherent sheaf and the component of ch of the same dimension).
I'm really hoping of something in the middle between Hartshorne's appendix and say Fulton's intersection theory (or Fulton-Lang RR algebra), which concentrates more on coherent sheaves.
(I know, I'm asking too much)