Curvature on the integers, II

Alexandru Buium

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arXiv · 1512.02527

Curvature on the integers, II

Alexandru Buium

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Abstract

In a prequel to this paper \cite{curvature1} a notion of curvature on the integers was introduced, based on the technique of "analytic continuation between primes", introduced in \cite{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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Alexandru Buium. 2015-12-08. Curvature on the integers, II. https://arxiv.org/abs/1512.02527

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