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Table of contents for this issue | Previous article Katz, Nicholas M. Nilpotent connections and the monodromy theorem : applications of a result of Turrittin. Publications Mathématiques de l'IHÉS, 39 (1970), p. 175-232 Full text djvu | pdf | Reviews MR 45 #271 | Zbl 0221.14007 | 53 citations in Numdam stable URL: http://www.numdam.org/item?id=PMIHES_1970__39__175_0 Bibliography [1] P. BERTHELOT, Cohomologie p-cristalline des schémas, I, II, III, C. R. Acad. Sc., Paris, 269, sér. A ( [2] E. BRIESKORN, Die monodromie der isolierten Singularitäten von Hyperflächen (to appear). Zbl 0186.26101 [3] P. CARTIER, Une nouvelle opération sur les formes différentielles, C. R. Acad. Sc. Paris, 244 ( [4] P. CARTIER, Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 ( Numdam | MR 21 #4957 | Zbl 0091.33501 [5] H. CLEMENS, Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities, Trans. Amer. Math. Soc., 136 ( [6] P. DELIGNE, Théorème de Lefschetz et critères de dégénérescence de suites spectrales, Publ. Math. I.H.E.S., 35 ( Numdam | Zbl 0159.22501 [7] P. DELIGNE, Théorie de Hodge (to appear). Zbl 0219.14006 [8] L. FUCHS, Zur theorie der linearen Differentialgleichungen mit veränderlichen Coefficienten, J. für reine u. angew. Math., 66 ( [9] P. GRIFFITHS, Periods of integrals on algebraic manifolds, I, II, Amer. J. Math., 90 ( [10] P. GRIFFITHS, Monodromy of Homology and Periods of Integrals on Algebraic Manifolds, Lecture Notes, Princeton University, [11] P. GRIFFITHS, Report on variation of Hodge structure, to appear in Bull. Amer. Math. Soc. [12] P. GRIFFITHS, Periods of certain rational integrals, I, II, Ann. of Math., 90 ( [13] A. GROTHENDIECK et al., SGA, 7 (to appear). [14] A. GROTHENDIECK and J. DIEUDONNÉ, Eléments de géométrie algébrique, chap. 3, Part. 2, Publ. Math. I.H.E.S., 17 ( Numdam | Zbl 0122.16102 [15] A. GROTHENDIECK, Fondements de la géométrie algébrique, Secrétariat mathématique, 11, rue Pierre-Curie, Paris (5e), [16] A. GROTHENDIECK, On the de Rham Cohomology of Algebraic Varieties, Publ. Math. I.H.E.S., 29 ( Numdam | MR 33 #7343 | Zbl 0145.17602 [17] A. GROTHENDIECK, Crystals and de Rham cohomology, in Dix exposés sur la cohomologie des schémas, Amsterdam, North-Holland, [18] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic, zero, I, II, Ann. of Math., 79 ( [19] G. HOCHSCHILD, B. KOSTANT and A. ROSENBERG, Differential forms on regular affine algebras, Trans. Amer. Math. Soc., 102 ( [20] E. INCE, Ordinary Differential Equations, New York, Dover, [21] N. KATZ, On the Differential Equations Satisfied by Period Matrices, Publ. Math. I.H.E.S., 35 ( Numdam | MR 39 #4168 | Zbl 0159.22502 [22] K. KODAIRA and D. C. SPENCER, On deformations of complex structures, I, II, Ann. of Math., 67 ( [23] A. LANDMAN, On the Picard-Lefschetz Formula for Algebraic Manifolds Acquiring General Singularities, Berkeley Ph. D. thesis, [24] D. LUTZ, Some characterizations of systems of linear differential equations having regular singular solutions, Trans. Amer. Math. Soc., 126 ( [25] Ju. MANIN, Moduli Fuchsiani, Annali Scuola Norm. Sup. Pisa, sér. III, 19 ( Numdam | MR 31 #4815 | Zbl 0166.04301 [26] Ju. MANIN, Algebraic curves over fields with differentiation, AMS Translations, (2), 37, 59-78. Zbl 0151.27601 [27] Ju. MANIN, Rational points of algebraic curves over function fields, AMS Translations, (2), 50, 189-234. Zbl 0178.55102 [28] Ju. MANIN, The Hasse-Witt matrix of an algebraic curve, AMS Translations, (2), 45, 245-264. Zbl 0148.28002 [29] D. MUMFORD, Lectures on Curves on an Algebraic Surface, Ann. of Math. Studies, Princeton, 59 ( [30] T. ODA, The First de Rham Cohomology Group and Dieudonné Modules, Annales scientifiques de l'Ecole Norm. Sup., 4e série, t. 2, Numdam | MR 39 #2775 | Zbl 0175.47901 [31] T. ODA and N. KATZ, On the differentiation of de Rham cohomology classes with respect to parameters, J. Math. Kyoto Univ., 8 ( Article | MR 38 #5792 | Zbl 0165.54802 [32] E. PICARD and G. SIMART, Théorie des fonctions algébriques de deux variables indépendantes, I, chap. IV, Paris, Gauthier-Villars, [33] J.-P. SERRE and J. TATE, Good reduction of abelian varieties, Ann. of Math., 88 ( [34] H. L. TURRITTIN, Convergent solutions of ordinary homogeneous differential equations in the neighborhood of an irregular singular point, Acta Math., 93 ( [35] H. L. TURRITTIN, Asymptotic expansions of solutions of systems of ordinary linear differential equations containing a parameter, in S. LEFSCHETZ (ed.), Contributions to the Theory of Nonlinear Oscillations, Annals of Math. Studies, Pricenton, 29 ( |
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