Weil ’ s Conjecture on Tamagawa Numbers ( Lecture 1 ) April 2 , 2013
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Remark 2. It looks like from the definition τ(G) depends on the number field K, so it should be τK(G). If L is a finite extension of K, we have τL(G) = τK(RL/K(G)). Weil showed that in fact the Tamagawa number is independent of Weil restriction, i.e., τL(G) = τK(RL/K(G)) = τK(G). This is proved with details in the paper by Oesterlé ”Nombres de Tamagawa et groupes unipotentes en caractéristique ...
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