scientific article

zbMath0502.12021MaRDI QIDQ3967633

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

eigenvectors Picard-Fuchs equations Hodge filtration beta functions Frobenius automorphism Frobenius transformation linear p-adic differential equations p-adic gamma functions strong Frobenius structure calculation of lowest degree terms in power series expansion excellent lifting of Frobenius Gauss hypergeometric equations growth filtration of solution space normalized solution matrix ordinary residue classes p-adic cohomology of algebraic curves research suggestions in p-adic analysis supersingular residue classes

Mathematics Subject Classification ID

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

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