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On the size of differential modules
Bernard M. Dwork
Source: Duke Math. J. Volume 96, Number 2
(1999), 225-239.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077229134
Mathematical Reviews number (MathSciNet): MR1666546
Zentralblatt MATH identifier: 0983.12004
Digital Object Identifier: doi:10.1215/S0012-7094-99-09607-2
References
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[AB] Yves André and Francesco Baldassarri, Geometric theory of $G$-functions, Arithmetic geometry (Cortona, 1994), Sympos. Math., XXXVII, Cambridge Univ. Press, Cambridge, 1997, pp. 1–22.
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[BH] F. Beukers and G. Heckman, Monodromy for the hypergeometric function $\sb nF\sb n-1$, Invent. Math. 95 (1989), no. 2, 325–354.
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Digital Object Identifier: doi:10.1007/BF01393900
[C] Gilles Christol, Un théorème de transfert pour les disques singuliers réguliers, Astérisque (1984), no. 119-120, 5, 151–168, (Soc. Math. de France).
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[dV] L. di Vizio, personal communication.
[D1] B. Dwork, $p$-adic cycles, Inst. Hautes Études Sci. Publ. Math. (1969), no. 37, 27–115.
Mathematical Reviews (MathSciNet): MR45:3415
Zentralblatt MATH: 0284.14008
Digital Object Identifier: doi:10.1007/BF02684886
[D2] B. Dwork, On $p$-adic differential equations. II. The $p$-adic asymptotic behavior of solutions of ordinary linear differential equations with rational function coefficients, Ann. of Math. (2) 98 (1973), 366–376.
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Digital Object Identifier: doi:10.2307/1970786
JSTOR: links.jstor.org
[D3] Bernard Dwork, Generalized hypergeometric functions, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, 1990.
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[DGS] Bernard Dwork, Giovanni Gerotto, and Francis J. Sullivan, An introduction to $G$-functions, Annals of Mathematics Studies, vol. 133, Princeton University Press, Princeton, NJ, 1994.
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[K] Nicholas M. Katz, Algebraic solutions of differential equations ($p$-curvature and the Hodge filtration), Invent. Math. 18 (1972), 1–118.
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[R] P. Robba, On the index of $p$-adic differential operators. I, Ann. of Math. (2) 101 (1975), 280–316.
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JSTOR: links.jstor.org
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