...This chapter works over a finite field k of odd characteristic. Fix an even integer 2n ≥ 4 and a monic polynomial f(x) ɛ k[x] of degree 2n, f ( x ) = ∑ i = 0 2...

...This chapter treats the case of characteristic two separately because it is somewhat simpler than the case of odd characteristic. Recall from the first paragraph of Chapter 25 that for k a finite field of characteristic 2, and any character χ of kˣ, the Tate...

...This chapter deals with the case of a finite field k, and a group scheme G/k. which is a form of ₘ. Euler characteristic middle convolution perverse sheaves quadratic extension Tannakian categories of perverse sheaves cohomology groups...

...Let k be a finite field, q its cardinality, p its characteristic, ≠ p a prime number, and G /k a smooth commutative group scheme which over k ¯ becomes isomorphic to k ¯ . This chapter...