Etale cohomology
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General Introduction
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Search results
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Online References
My own essay (put this online)
Milne's online notes
A great list of links by Bhatt I think.
http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology
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Paper References
Tamme
SGA4 1/2, and SGA4
Milne's book
Motives volumes article
EMS Vol 35 (Alg geom II), ed Shafarevich. Covers cohomology of coherent sheaves and etale cohomology. In Cohomology folder under AG.
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
Regarding what happens when p is nnot invertible, see maybe this MO question. http://mathoverflow.net/questions/49887/does-one-need-l-to-be-invertible-in-s-in-order-to-consider-the-l-adic-cohomology
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Computations and Examples
Jardine: Homotopy and homotopical algebra: The etale cohomology rings of the classifying simplicial schemes fo various group schemes have been calculated. (p. 660)
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History and Applications
http://mathoverflow.net/questions/6070/etale-cohomology-why-study-it
http://mathoverflow.net/questions/16195/applications-of-etale-cohomology
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Some Research Articles
arXiv:1207.3648 Travaux de Gabber sur l'uniformisation locale et la cohomologie etale des schemas quasi-excellents. Seminaire a l'Ecole polytechnique 2006--2008 fra arXiv Front: math.AG av Luc Illusie, Yves Laszlo, Fabrice Orgogozo This book contains notes of a seminar on Ofer Gabber's work on the etale cohomology and uniformization of quasi-excellent schemes. His main results include (cf. introduction) constructibility theorems (for abelian or non-abelian coefficients), vanishing theorems (e.g. affine Lefschetz), uniformization for the "prime-to-l alteration topology", rigidity for non-abelian coefficients, a new proof of the absolute purity conjecture, duality, etc.
For the Bloch-Ogus-Gabber theorem, see K0169
Kahn: We prove some finiteness theorems for the \'étale cohomology, Borel-Moore homology and cohomology with proper supports of schemes of finite type over a finite or p-adic field. This yields vanishing results for their l-adic cohomology, proving part of a conjecture of Jannsen.
K-theory of semi-local rings with finite coefficients and étale cohomology, by Bruno Kahn
Variations on the Bloch-Ogus Theorem, by Ivan Panin and Kirill Zainoulline: K0556
Hoobler on the étale and Galois cohomology of semi-local rings
Probably not so interesting, some thing about mod 2 étale cohomology of real varieties: http://www.springerlink.com/content/x66u20605w22/?p=3c80b59be1374aea82a8a70beebece54&pi=324
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Other Information
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