Beke on higher Cech theory
arXiv: Experimental full text search
AG (Algebraic geometry)
Pure
Hartshorne?
Bott and Tu?
Chapter 5 of Godement, in Homological algebra folder
Under Sheaf cohomology we define Cech cohomology for an arbitrary Grothendieck topology.
This nLab entry compares derived functor sheaf cohomology with Cech cohomology: these two methods differ in whether one computes using “resolutions” of either the coefficient object A (this happens in the right derived global section functor approach) or in the domain object X (this happens in Čech cohomology).
For the Cech nerve of a covering, see Huber-Wildeshaus app B.6
See the big paper of Thomason for spectra and stuff.
http://www.ncatlab.org/nlab/show/Cech+cohomology
Cech methods at the nLab, see also Cech homotopy, Cech cover, Cech nerve
http://www.ncatlab.org/nlab/show/Cech+model+structure+on+simplicial+presheaves
See MO question and this note of de Jong for relation to sheaf cohomology
http://mathoverflow.net/questions/78065/long-exact-sequence-for-cech-cohomology
http://mathoverflow.net/questions/9007/cech-to-derived-spectral-sequence-and-sheafification
http://mathoverflow.net/questions/10056/equivalence-of-ordered-and-unordered-cech-cohomology
http://mathoverflow.net/questions/29737/understand-cech-cohomology
http://mathoverflow.net/questions/13977/is-there-something-like-cech-cohomology-for-p-adic-varieties
nLab page on Cech cohomology