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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.)