@article{PMIHES_1970__39__175_0, author = {Katz, Nicholas M.}, title = {Nilpotent connections and the monodromy theorem : applications of a result of {Turrittin}}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {175--232}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {39}, year = {1970}, mrnumber = {291177}, zbl = {0221.14007}, language = {en}, url = {http://www.numdam.org/item/PMIHES_1970__39__175_0/} }
TY - JOUR AU - Katz, Nicholas M. TI - Nilpotent connections and the monodromy theorem : applications of a result of Turrittin JO - Publications Mathématiques de l'IHÉS PY - 1970 SP - 175 EP - 232 VL - 39 PB - Institut des Hautes Études Scientifiques UR - http://www.numdam.org/item/PMIHES_1970__39__175_0/ LA - en ID - PMIHES_1970__39__175_0 ER -
%0 Journal Article %A Katz, Nicholas M. %T Nilpotent connections and the monodromy theorem : applications of a result of Turrittin %J Publications Mathématiques de l'IHÉS %D 1970 %P 175-232 %V 39 %I Institut des Hautes Études Scientifiques %U http://www.numdam.org/item/PMIHES_1970__39__175_0/ %G en %F PMIHES_1970__39__175_0
Katz, Nicholas M. Nilpotent connections and the monodromy theorem : applications of a result of Turrittin. Publications Mathématiques de l'IHÉS, Tome 39 (1970), pp. 175-232. http://www.numdam.org/item/PMIHES_1970__39__175_0/
[0] Integrals of the second kind on an algebraic variety, Annals of Math., 62 (1955), 56-91. | MR | Zbl
and ,[1] Cohomologie p-cristalline des schémas, I, II, III, C. R. Acad. Sc., Paris, 269, sér. A (1969), 297-300, 357-360, and 397-400. | MR | Zbl
,[2] Die monodromie der isolierten Singularitäten von Hyperflächen (to appear). | Zbl
,[3] Une nouvelle opération sur les formes différentielles, C. R. Acad. Sc. Paris, 244 (1957), 426-428. | MR | Zbl
,[4] Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 (1958), 177-251. | Numdam | MR | Zbl
,[5] Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities, Trans. Amer. Math. Soc., 136 (1969), 93-108. | MR | Zbl
,[6] Théorème de Lefschetz et critères de dégénérescence de suites spectrales, Publ. Math. I.H.E.S., 35 (1969). | Numdam | Zbl
,[7] Théorie de Hodge (to appear). | Zbl
,[8] Zur theorie der linearen Differentialgleichungen mit veränderlichen Coefficienten, J. für reine u. angew. Math., 66 (1866), 121-160, and 68 (1868), 354-385. | Zbl
,[9] Periods of integrals on algebraic manifolds, I, II, Amer. J. Math., 90 (1968), 568-626 and 805-865. | MR | Zbl
,[10] Monodromy of Homology and Periods of Integrals on Algebraic Manifolds, Lecture Notes, Princeton University, 1968. | MR
,[11] Report on variation of Hodge structure, to appear in Bull. Amer. Math. Soc.
,[12] Periods of certain rational integrals, I, II, Ann. of Math., 90 (1969), 460-541. | MR | Zbl
,[13]
et al., SGA, 7 (to appear).[14] Eléments de géométrie algébrique, chap. 3, Part. 2, Publ. Math. I.H.E.S., 17 (1963). | Numdam | Zbl
and ,[15] Fondements de la géométrie algébrique, Secrétariat mathématique, 11, rue Pierre-Curie, Paris (5e), 1962. | Zbl
,[16] On the de Rham Cohomology of Algebraic Varieties, Publ. Math. I.H.E.S., 29 (1966). | EuDML | Numdam | MR | Zbl
,[17] Crystals and de Rham cohomology, in Dix exposés sur la cohomologie des schémas, Amsterdam, North-Holland, 1969. | Zbl
,[18] Resolution of singularities of an algebraic variety over a field of characteristic, zero, I, II, Ann. of Math., 79 (1964), 109-326. | MR | Zbl
,[19] Differential forms on regular affine algebras, Trans. Amer. Math. Soc., 102 (1962), 383-408. | MR | Zbl
, and ,[20] Ordinary Differential Equations, New York, Dover, 1956.
,[21] On the Differential Equations Satisfied by Period Matrices, Publ. Math. I.H.E.S., 35 (1968). | EuDML | Numdam | MR | Zbl
,[22] On deformations of complex structures, I, II, Ann. of Math., 67 (1958), 328-466. | MR | Zbl
and ,[23] On the Picard-Lefschetz Formula for Algebraic Manifolds Acquiring General Singularities, Berkeley Ph. D. thesis, 1966. | Zbl
,[24] Some characterizations of systems of linear differential equations having regular singular solutions, Trans. Amer. Math. Soc., 126 (1967), 427-441. | MR | Zbl
,[25] Moduli Fuchsiani, Annali Scuola Norm. Sup. Pisa, sér. III, 19 (1965), 113-126. | EuDML | Numdam | MR | Zbl
,[26] Algebraic curves over fields with differentiation, AMS Translations, (2), 37, 59-78. | Zbl
,[27] Rational points of algebraic curves over function fields, AMS Translations, (2), 50, 189-234. | Zbl
,[28] The Hasse-Witt matrix of an algebraic curve, AMS Translations, (2), 45, 245-264. | Zbl
,[29] Lectures on Curves on an Algebraic Surface, Ann. of Math. Studies, Princeton, 59 (1966). | MR | Zbl
,[30] The First de Rham Cohomology Group and Dieudonné Modules, Annales scientifiques de l'Ecole Norm. Sup., 4e série, t. 2, 1969. | EuDML | Numdam | MR | Zbl
,[31] On the differentiation of de Rham cohomology classes with respect to parameters, J. Math. Kyoto Univ., 8 (1968), 199-213. | MR | Zbl
and ,[32] Théorie des fonctions algébriques de deux variables indépendantes, I, chap. IV, Paris, Gauthier-Villars, 1897. | JFM
and ,[33] Good reduction of abelian varieties, Ann. of Math., 88 (1968), 492-517. | MR | Zbl
and ,[34] Convergent solutions of ordinary homogeneous differential equations in the neighborhood of an irregular singular point, Acta Math., 93 (1955), 27-66. | MR | Zbl
,[35] 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 (1952). | MR | Zbl
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