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Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology
Published 6 Dec 2022 in math.NT and math.DG | (2212.02697v2)
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.
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