Nilpotent connections and the monodromy theorem : applications of a result of Turrittin
Publications Mathématiques de l'IHÉS, Tome 39 (1970), pp. 175-232.
@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] M. Atiyah and W. Hodge, Integrals of the second kind on an algebraic variety, Annals of Math., 62 (1955), 56-91. | MR | Zbl

[1] P. Berthelot, 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] E. Brieskorn, Die monodromie der isolierten Singularitäten von Hyperflächen (to appear). | Zbl

[3] P. Cartier, Une nouvelle opération sur les formes différentielles, C. R. Acad. Sc. Paris, 244 (1957), 426-428. | MR | Zbl

[4] P. Cartier, Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 (1958), 177-251. | Numdam | MR | Zbl

[5] H. Clemens, Picard-Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities, Trans. Amer. Math. Soc., 136 (1969), 93-108. | MR | Zbl

[6] P. Deligne, Théorème de Lefschetz et critères de dégénérescence de suites spectrales, Publ. Math. I.H.E.S., 35 (1969). | Numdam | Zbl

[7] P. Deligne, Théorie de Hodge (to appear). | Zbl

[8] L. Fuchs, 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] P. Griffiths, Periods of integrals on algebraic manifolds, I, II, Amer. J. Math., 90 (1968), 568-626 and 805-865. | MR | Zbl

[10] P. Griffiths, Monodromy of Homology and Periods of Integrals on Algebraic Manifolds, Lecture Notes, Princeton University, 1968. | MR

[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 (1969), 460-541. | MR | Zbl

[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 (1963). | Numdam | Zbl

[15] A. Grothendieck, Fondements de la géométrie algébrique, Secrétariat mathématique, 11, rue Pierre-Curie, Paris (5e), 1962. | Zbl

[16] A. Grothendieck, On the de Rham Cohomology of Algebraic Varieties, Publ. Math. I.H.E.S., 29 (1966). | EuDML | Numdam | MR | Zbl

[17] A. Grothendieck, Crystals and de Rham cohomology, in Dix exposés sur la cohomologie des schémas, Amsterdam, North-Holland, 1969. | Zbl

[18] H. Hironaka, 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] G. Hochschild, B. Kostant and A. Rosenberg, Differential forms on regular affine algebras, Trans. Amer. Math. Soc., 102 (1962), 383-408. | MR | Zbl

[20] E. Ince, Ordinary Differential Equations, New York, Dover, 1956.

[21] N. Katz, On the Differential Equations Satisfied by Period Matrices, Publ. Math. I.H.E.S., 35 (1968). | EuDML | Numdam | MR | Zbl

[22] K. Kodaira and D. C. Spencer, On deformations of complex structures, I, II, Ann. of Math., 67 (1958), 328-466. | MR | Zbl

[23] A. Landman, On the Picard-Lefschetz Formula for Algebraic Manifolds Acquiring General Singularities, Berkeley Ph. D. thesis, 1966. | Zbl

[24] D. Lutz, Some characterizations of systems of linear differential equations having regular singular solutions, Trans. Amer. Math. Soc., 126 (1967), 427-441. | MR | Zbl

[25] Ju. Manin, Moduli Fuchsiani, Annali Scuola Norm. Sup. Pisa, sér. III, 19 (1965), 113-126. | EuDML | Numdam | MR | Zbl

[26] Ju. Manin, Algebraic curves over fields with differentiation, AMS Translations, (2), 37, 59-78. | Zbl

[27] Ju. Manin, Rational points of algebraic curves over function fields, AMS Translations, (2), 50, 189-234. | Zbl

[28] Ju. Manin, The Hasse-Witt matrix of an algebraic curve, AMS Translations, (2), 45, 245-264. | Zbl

[29] D. Mumford, Lectures on Curves on an Algebraic Surface, Ann. of Math. Studies, Princeton, 59 (1966). | MR | Zbl

[30] T. Oda, 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] T. Oda and N. Katz, On the differentiation of de Rham cohomology classes with respect to parameters, J. Math. Kyoto Univ., 8 (1968), 199-213. | MR | Zbl

[32] E. Picard and G. Simart, Théorie des fonctions algébriques de deux variables indépendantes, I, chap. IV, Paris, Gauthier-Villars, 1897. | JFM

[33] J.-P. Serre and J. Tate, Good reduction of abelian varieties, Ann. of Math., 88 (1968), 492-517. | MR | Zbl

[34] H. L. Turrittin, Convergent solutions of ordinary homogeneous differential equations in the neighborhood of an irregular singular point, Acta Math., 93 (1955), 27-66. | MR | Zbl

[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 (1952). | MR | Zbl