A very nice introduction by Daniel Murfet.
arXiv: Experimental full text search
AG (Algebraic geometry)
Pure, Mixed
Hartshorne: Algebraic geometry
EMS Vol 35 (Alg geom II), ed Shafarevich. Covers cohomology of coherent sheaves and etale cohomology. In Cohomology folder under AG.
http://mathoverflow.net/questions/21502/what-is-the-zariski-topology-good-bad-for
By Zariski cohomology we mean Sheaf cohomology of some sheaf (or complex of sheaves) on the Zariski site of a scheme.The sheaf can be for example a coherent sheaf as in Hartshorne, or a motivic complex as in Voevodsky.
nLab page on Zariski cohomology