Foundations of arithmetic differential geometry /

Foundations of arithmetic differential geometry / Alexandru Buium.

"The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of functions on an infinite dimensional manifold. The role of coordinate functions on this manifold is played by the pr...

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Bibliographic Details
Main Author: Buium, Alexandru, 1955- (Author)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2017]
Series:Mathematical surveys and monographs ; no. 222.
Subjects:
Geometry, Differential.
Number theory > Forms and linear algebraic groups > Classical groups.
Number theory > Discontinuous groups and automorphic forms > $p$-adic theory, local fields.
Algebraic geometry > Arithmetic problems. Diophantine geometry > Local ground fields.
Differential geometry > Global differential geometry > Methods of Riemannian geometry, including PDE methods; curvature restrictions.

Closed Stacks - Engineering Math & Physics Library - Stacks

Holdings details from Closed Stacks - Engineering Math & Physics Library - Stacks
Call Number: QA641 .B774 2017
QA641 .B774 2017 Available Place a Hold

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