Curvature on the integers, II

JOURNAL OF NUMBER THEORY

卷:167

Article

Buium, Alexandru¹ 

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

关键词: p-Adic numbers;    Frobenius lifts;    Correspondences;   

DOI  :  10.1016/j.jnt.2016.03.012

来源: Elsevier

【 摘 要 】

In a prequel to this paper [1] a notion of curvature on the integers was introduced, based on a formal patching technique. 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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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