most recent 30 from http://mathoverflow.net 2013-05-25T10:38:29Z http://mathoverflow.net/feeds/question/80633 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology Math-player 2011-11-10T20:53:38Z 2013-01-07T11:08:25Z

<p>What is the best textbook (or book) for studying Etale cohomology?</p>

http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology/80636#80636 Portland 2011-11-10T21:02:07Z 2011-11-10T21:02:07Z

<p>Not a textbook, but a free PDF by J.S. Milne, <a href="http://www.jmilne.org/math/CourseNotes/LEC.pdf" rel="nofollow">http://www.jmilne.org/math/CourseNotes/LEC.pdf</a>, pretty good IMHO.</p>

http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology/80645#80645 Georges Elencwajg 2011-11-10T23:10:32Z 2011-11-11T11:21:06Z

<p>I'll complement the list of well known books on the subject by some freely available documents, which I find user-friendly. </p> <p><a href="http://math.columbia.edu/~pugin/Teaching/Etale_files/EtaleCohomology.pdf" rel="nofollow">Here</a> are great lecture notes , from a course that de Jong (of Stacks Project fame) gave in 2009. </p> <p>Edgar José Martins Dias Costa's <a href="https://dspace.ist.utl.pt/bitstream/2295/686086/1/tese.pdf" rel="nofollow">short dissertation </a> on the subject . </p> <p>Evan Jenkins's <a href="http://www.math.uchicago.edu/~ejenkins/etale.html" rel="nofollow">notes</a> of a seminar on étale cohomology (click on the pdf icons).</p> <p>The <a href="http://arxiv.org/PS_cache/arxiv/pdf/1101/1101.0683v1.pdf" rel="nofollow">arXiv notes </a> of a mini-course given by a fine expositor, Antoine Ducros, which also cover analytical aspects of étale cohomology (used for Berkovich spaces). </p> <p>And finally a <a href="http://www.math.u-psud.fr/~illusie/Grothendieck_etale.pdf" rel="nofollow">historic survey</a> (in French unfortunately) on the genesis and successes of étale cohomology.<br> It was written by Illusie, one of Grothendieck's most brilliant students, who acknowledges the help he received in his reminiscences from luminaries such as Serre and Deligne. </p>

http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology/87161#87161 Timo Keller 2012-01-31T18:55:23Z 2012-01-31T18:55:23Z

<p>Lei Fu, Étale Cohomology Theory is also nice and has not been mentioned yet.</p>

http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology/108057#108057 David Corwin 2012-09-25T14:10:52Z 2012-09-25T14:10:52Z

<p>I would highly recommend <a href="http://www.math.purdue.edu/~dvb/preprints/etale.pdf" rel="nofollow">these notes</a> by Donu Arapura for a good overview of etale cohomology, as well as <a href="http://www.tomsutherland.postgrad.shef.ac.uk/etale.pdf" rel="nofollow">this short paper</a> by Tom Sutherland for an even quicker overview.</p>

http://mathoverflow.net/questions/80633/textbook-for-etale-cohomology/108062#108062 René Pannekoek 2012-09-25T15:12:24Z 2012-09-25T21:28:26Z

<p>My first exposure to étale cohomology was through Bjorn Poonen's notes <a href="http://www-math.mit.edu/~poonen/papers/Qpoints.pdf" rel="nofollow">Rational Points on Varieties</a>, Ch. 6. Not all of the big theorems are mentioned there, but it provides a great introduction to those who have had no previous dealings with the subject.</p>