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math.NT2022
Arithmetic differential geometry in the arithmetic PDE setting II: curvature and cohomology
Alexandru Buium, Lance Edward Miller
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 connection…
math.NT2022
Arithmetic differential geometry in the arithmetic PDE setting, I: connections
Lance Edward Miller, Alexandru Buium
This is the first in a series on papers developing an arithmetic PDE analogue of Riemannian geometry. The role of partial derivatives is played by Fermat quotient operations with r…