Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology
Number Theory
2022-12-09 v2 Differential Geometry
Abstract
This is the second paper in a series devoted to developing an arithmetic PDE analogue of Riemannian geometry. In Part 1 arithmetic PDE analogues of Levi-Civita and Chern connections were introduced and studied. In this paper arithmetic analogues of curvature and characteristic classes are developed.
Keywords
Cite
@article{arxiv.2212.02697,
title = {Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology},
author = {Alexandru Buium and Lance Edward Miller},
journal= {arXiv preprint arXiv:2212.02697},
year = {2022}
}