论文标题

算术PDE设置中的算术差异几何形状II:曲率和协同学

Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology

论文作者

Buium, Alexandru, Miller, Lance Edward

论文摘要

这是致力于开发Riemannian几何形状的算术PDE类似物的系列文章。在第1部分中,引入并研究了Levi-Civita和Chern连接的算术PDE类似物。在本文中,开发了曲率和特征类别的算术类似物。

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.

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