Foundations of arithmetic differential geometry /
x, 344 pages ; 27 cm. - (Mathematical surveys and monographs ; v 222.) Content notes : Introduction --
1. Algebraic background --
2. Classical differential geometry revisited --
3. Arithmetic differential geometry : generalities --
4. Arithmetic differential geometry : the case of GLn --
5. Curvature and Galois groups of Ehresmann connections --
6. Curvature of Chern connections --
7. Curvature of Levi-Civitáa connections --
8. Curvature of Lax connections --
9. Open problems.