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Lectures on etale cohomology - James Milne

Lectures on etale MilneVersion 22, 2013 These are the notes for a course taught at the University of Michigan in 1989 and comparison with my book, the emphasis is on heuristic arguments rather than formalproofs and on varieties rather than schemes. The notes also discuss the proof of the Weilconjectures (Grothendieck and Deligne).BibTeX information@misc{milneLEC,author={ Milne , James S.},title={ Lectures on etale cohomology ( )},year={2013},note={Available at },pages={202}} (August 9, 1998). First version on the web; 197 (May 20, 2008). Fixed many minor errors; changed TeX style; 196 (May 3, 2012).

Sheaf theory Etale cohomology is modelled on the cohomology theory of sheaves in the usual topological sense. Much of the material in these notes parallels that in, for example, Iversen, B., Cohomology of Sheaves, Springer, 1986. Algebraic geometry I shall assume familiarity with the theory of algebraic varieties, for

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