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Lectures on p-adic differential equations. (English) Zbl 0502.12021
Grundlehren der Mathematischen Wissenschaften, 253. New York Heidelberg - Berlin: Springer-Verlag. VIII, 310 p. DM 118.00; $ 47.20 (1982).

MSC:
12H25 \(p\)-adic differential equations
12-02 Research exposition (monographs, survey articles) pertaining to field theory
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations
14G20 Local ground fields in algebraic geometry
34G10 Linear differential equations in abstract spaces
14F30 \(p\)-adic cohomology, crystalline cohomology
14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
14K15 Arithmetic ground fields for abelian varieties
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
35A30 Geometric theory, characteristics, transformations in context of PDEs
14H25 Arithmetic ground fields for curves
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)