I need to refer to the so-called Grothendieck trace formula, but after checking tens of Google pages, I still cannot find a proper reference on this topic. Could anyone tell me some good book/papers on that? Many thanks.
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6$\begingroup$ Did you look at Freitag-Reinhardt: Étale cohomology and the Weil conjecture, Ergebnisse der Mathematik und ihrer Grenzgebiete 13 (1988), in particular Chapter II, $\S 4$? $\endgroup$– Francesco PolizziCommented May 27, 2019 at 8:19
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$\begingroup$ Thanks so much, I will certainly check that! $\endgroup$– YC ZHOUCommented Jun 4, 2019 at 10:21
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Sorry for giving an answer instead of a comment, but I am new to MathOverflow and hence I cannot comment yet.
The original references are:
- SGA 4.1/2, Chapter 2 (MR 0463174, that can be downloaded here);
- SGA 5, Exposé III (ZBL 0355.14004, that can be downloaded here).
and you can find modern expositions in
- Milne, "Etale cohomology", Theorem 12.3 (MR 0559531). See also some lecture notes by the same author;
- Freitag-Kiehl, as pointed out by Francesco Polizzi (MR 0926276)
- Notes of the Stanford Number Theory learning seminar (here);
- The Stacks Project, Chapter 58;
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3$\begingroup$ This is better as an answer than as a comment; thanks. (And now that you have more than 50 points of rep, you can comment!) $\endgroup$ Commented May 31, 2019 at 14:00
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1$\begingroup$ Many thanks, this list is certainly very useful to me $\endgroup$– YC ZHOUCommented Jun 4, 2019 at 10:22