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Foundations of Arithmetic Differential Geometry
About this Title
Alexandru Buium, University of New Mexico, Albuquerque, NM
Publication: Mathematical Surveys and Monographs
Publication Year:
2017; Volume 222
ISBNs: 978-1-4704-3623-0 (print); 978-1-4704-4089-3 (online)
DOI: https://doi.org/10.1090/surv/222
MathSciNet review: MR3643159
MSC: Primary 14G20; Secondary 11E57, 12H05, 53-02, 53C05, 58Axx
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Algebraic background
- Classical differential geometry revisited
- Arithmetic differential geometry: Generalities
- Arithmetic differential geometry: The case of $GL_n$
- Curvature and Galois groups of Ehresmann connections
- Curvature of Chern connections
- Curvature of Levi-Cività connections
- Curvature of Lax connections
- Open problems