Curvature on the integers, II

Abstract

In a prequel to this paper curvature1 a notion of curvature on the integers was introduced, based on the technique of "analytic continuation between primes", introduced in laplace. In this paper, which is essentially independent of its prequel, we introduce another notion of curvature on the integers, based on "algebraization of Frobenius lifts by correspondences." Our main results are vanishing/non-vanishing theorems for this new type of curvature in the case of "Chern connections" attached to classical groups.

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