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Feb 15, 2016 at 13:57 comment added Dan Petersen Anyway, expressing the coefficients of the characteristic polynomial in terms of the Frobenius eigenvalues has not so much to do with étale cohomology - it's an exercise about symmetric functions.
Feb 15, 2016 at 13:56 comment added Dan Petersen Hi, I don't know a great reference off the top of my head that doesn't go into much more advanced things than what you are probably interested in. Maybe if you google "Weil conjectures for curves" you'll find some worked out examples to get you started.
Feb 14, 2016 at 20:11 comment added Eduardo R. Duarte Very nice answer, Do you have a good source to read in this context in more detail, for example using Étale Cohomology groups 1,2,3 to get the Coefficients of the characteristic polynomial. And also it would be nice if there's some type of paper explaining the values of $\chi(n)$ for $n\in \mathbb{Z}$.
Feb 13, 2016 at 0:00 history edited Dan Petersen CC BY-SA 3.0
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Feb 12, 2016 at 23:53 history answered Dan Petersen CC BY-SA 3.0