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We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$.
We show that the automorphism group of Drinfeld's half-space over a finite field is the projective linear group of the underlying vector space. The proof of this result uses analytic geometry in the s...
We compare a heuristic count of components of the center variety in degree 3 with the equivalent count obtained from known families.From this comparison we conjecture that more than 100 unknown compon...
We show that if E Fdq , the d-dimensional vector space over the finite field with q elements,and |E| ≥ qd, where q−1 2 ≪  ≤ 1, then E contains an isometric copy of at least cd&#...
In this paper, disturbed sparse linear equations over the 0-1 finite field are considered. Due to the special structure of the problem, the standard alternating coordinate method can be implemented...
et Fq be a finite field of q = pa elements. Let X be a smooth quasi-projective subscheme of Pn of dimension m ≥ 0 over Fq. N. Katz asked for a finite field analogue of the Bertini smoothness theorem...

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