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My first exposure to étale cohomology was through Bjorn Poonen's notes Rational Points on Varieties, Ch. 6. Many Not all of the big theorems are not mentioned there, but it provides a great introduction to those who have had no previous dealings with the subject.

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My first exposure to étale cohomology was through Bjorn Poonen's notes Rational Points on Varieties, Ch. 6. Many of the big theorems are not mentioned there, but it provides a great introduction to those who have had no previous dealings with the subject.