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Convolution and Equidistribution by Nicholas M. Katz

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CHAPTER 26

G2 Examples: Construction in Characteristic Two

We treat the case of characteristic two separately because it is somewhat simpler than the case of odd characteristic. Recall from the first paragraph of the previous chapter that for k a finite field of characteristic 2, and any character χ of k×, the Tate-twisted Kloosterman sheaf of rank seven

F(χ, k) := Kl(image, image, image, χ, χ, χ, χ)(3)

has Ggeom = Garith = G2. Our first task is to express its stalk ...

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