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On p-adic differential equations. The Frobenius structure of differential equations. (English) Zbl 0304.14014


MSC:

14G20 Local ground fields in algebraic geometry
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
34G99 Differential equations in abstract spaces
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References:

[1] DWORK, B. ”A deformation theory for the zeta function of a hypersurface” Proc. Int’1. Cong. Math., Stockholm 1962 pp. 247-259. Zbl 0196.53302 · Zbl 0196.53302
[2] DWORK, B. ”On the zeta function of a hypersurface II , Annals of Math. 80 ( 1964 ) pp. 227-299. MR 32 #5654 | Zbl 0173.48601 · Zbl 0173.48601
[3] DWORK, B. ”p-adic cycles” Publ. Math. IHES 37, Paris, 1969 , pp. 27-116. Numdam | MR 45 #3415 | Zbl 0284.14008 · Zbl 0284.14008
[4] DWORK, B. ”On p-adic differential equations II” , Annals of Math., to appear. · Zbl 0304.14015
[5] DWORK, B. ”On p-adic differential equations III” , submitted to Inventiones Math. Zbl 0309.14019 · Zbl 0309.14019
[6] KATZ, N. ”Travaux de Dwork” exposé 409, Seminaire Bourbaki 1972 . Numdam | Zbl 0259.14007 · Zbl 0259.14007
[7] TURRITTIN, H.L. ”Convergent solutions of ordinary linear homogeneous differential equations in the neighbourhood of an irregular singular point” Acta Math. 93 ( 1955 ) pp. 27-66. MR 16,925a | Zbl 0064.33603 · Zbl 0064.33603
[8] WASOW, W. ”Asymptotic expansions for ordinary differential equations” Interscience Publishers, New York 1965 . MR 34 #3041 | Zbl 0133.35301 · Zbl 0133.35301
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