@article{ASENS_1989_4_22_3_345_0, author = {Sekiguchi, T. and Oort, F. and Suwa, N.}, title = {On the deformation of {Artin-Schreier} to {Kummer}}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {345--375}, publisher = {Elsevier}, volume = {Ser. 4, 22}, number = {3}, year = {1989}, doi = {10.24033/asens.1586}, mrnumber = {91g:14041}, zbl = {0714.14024}, language = {en}, url = {http://www.numdam.org/articles/10.24033/asens.1586/} }
TY - JOUR AU - Sekiguchi, T. AU - Oort, F. AU - Suwa, N. TI - On the deformation of Artin-Schreier to Kummer JO - Annales scientifiques de l'École Normale Supérieure PY - 1989 SP - 345 EP - 375 VL - 22 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.24033/asens.1586/ DO - 10.24033/asens.1586 LA - en ID - ASENS_1989_4_22_3_345_0 ER -
%0 Journal Article %A Sekiguchi, T. %A Oort, F. %A Suwa, N. %T On the deformation of Artin-Schreier to Kummer %J Annales scientifiques de l'École Normale Supérieure %D 1989 %P 345-375 %V 22 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.24033/asens.1586/ %R 10.24033/asens.1586 %G en %F ASENS_1989_4_22_3_345_0
Sekiguchi, T.; Oort, F.; Suwa, N. On the deformation of Artin-Schreier to Kummer. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 3, pp. 345-375. doi : 10.24033/asens.1586. http://www.numdam.org/articles/10.24033/asens.1586/
[1] Algèbre commutative, Eléments de Math., 27, 28, 30, 31, Hermann, Paris, 1961-1965.
,[2] Extensions of Abelian Sheaves and Eilenberg-Maclane algebras, Invent. Math., Vol. 9, 1969, pp. 15-44. | MR | Zbl
,[3] Un théorème d'annulation pour certains des Exti de faisceaux abéliens, Ann. scient. Éc. Norm. Sup., Vol. 8, 1975, pp. 339-352. | Numdam | MR | Zbl
,[4] Groupes algébriques, Tome 1. Masson, Paris, North-Holland Pub. Comp., Amsterdam, 1970. | Zbl
and ,FGA Fondements de la géométrie algébrique. Séminaire Bourbaki, 1952-1962, Secrétariat Math., Paris, 1962. | Zbl
,GB Le groupe de Brauer I, II, III. Dix exposés sur la cohomologie des schémas, North-Holland, Masson, 1968.
,EGA Éléments de géométrie algébrique, Pub. Math. I.H.E.S., 1960-1967. | Numdam
and ,SGA Séminaire de géométrie algébrique, Lecture Notes in Math., Nos. 224, 269, 270, 305, Berlin-Heidelberg-New York, Springer-Verlag, 1971-1973.
et al.,[5] Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichen Konstantenkörper. Jour. reine angew. Math. (Crelle), 172, 1935, pp. 37-54. | JFM | Zbl
,[6] Arithmetic Variety of Moduli for Genus Two, Ann. Math., 72, 1960, pp. 612-649. | MR | Zbl
,[7] On Flat Fibrations by the Affine Line, Illinois J. Math., No. 4, 22, 1978, pp. 662-671. | MR | Zbl
and ,[8] Deformations of Curves I. Moduli for Hyperelliptic Curves. Algebraic Geometry, Proceedings Tromsø, Norway 1977, Lecture Notes in Math., No. 687, Berlin-Heidelberg-New York, Springer-Verlag, 1978, pp. 150-167. | Zbl
and ,[9] Geometric Invariant Theory. Ergebnisse, Berlin-Heidelberg-New York, Springer-Verlag, 1965. | MR | Zbl
,[10] Abelian Varieties, Tata Inst. Studies in Math., Oxford University Press, 1970. | MR | Zbl
,[11] Local rings, Interscience Tracts in Pure & Applied Math., 131, J. Wiley, New York, 1962. | MR | Zbl
,[12] Action of an Automorphism of Order p on Cohomology Groups of an Algebraic Curves, J. Pure and Applied Alg. 42, 1986, pp. 85-94. | MR | Zbl
,[13] Commutative Group Schemes, Lecture Notes in Math., No. 15, Berlin-Heidelberg-New York, Springer-Verlag, 1966. | MR | Zbl
,[14] Finite Group Schemes, Local Moduli for Abelian Varieties and Lifting Problems, Compos. Math., Vol. 23, 1971, pp. 265-296 (Also : Algebraic Geometry, Oslo, 1970, F. Oort ed., Wolters-Noordhoff, 1972, pp. 223-254). | Numdam | MR | Zbl
,[15] Singularities of coarse moduli schemes, Sém. Dubreil, 29, 1975/1976 ; Lecture Notes in Math., Vol. 586, pp. 61-76, Berlin-Heidelberg-New York, Springer-Verlag, 1977. | Zbl
,[16] Deformations and Liftings of Finite Commutative Group Schemes, Invent. Math., Vol. 5, 1968, pp. 317-334. | MR | Zbl
and ,[17] The canonical lifting of an ordinary Jacobian variety need not a Jacobian variety, J. Math. Soc. Japan, Vol. 38, 1986, pp. 427-437. | MR | Zbl
and ,[18] Spécialization du foncteur de Picard, I.H.E.S., Vol. 38, 1970, pp. 27-76. | Numdam | MR | Zbl
,[19] Abschötzung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik, Math. Z., Vol. 117, 1970, pp. 157-163. | MR | Zbl
,[20] On the deformations of Witt groups to tori. In Algebraic and Topological Theories (to the memory of Dr. T. Miyarta), Kinokuniya Co., Ltd., 1985, pp. 283-298. | Zbl
and ,[21] Groupes algébriques et corps de classes, Hermann, Paris, 1959. | MR | Zbl
,[22] On the group of automorphisms of a function field of genus at least two, Jour. of Pure and Applied algebra, Vol. 4, 1974, pp. 205-229. | MR | Zbl
,[23] Uber die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. Teil I : Eine Abschötzung der Ordnung der Automorphismengruppe. Teil II : Ein spezieller typ von Funktionenkörpern, Arch. Math. Vol. 24, 1973, pp. 527-544 ; Vol. 25, 1973, pp. 615-631. | MR | Zbl
,[24] On a case of extensions of group schemes, Trans. Math. Soc., No. 1, 248, 1979, pp. 171-189. | MR | Zbl
,[25] One-dimensional affine group schemes, J. of Alg., Vol. 66, 1980, pp. 550-568. | MR | Zbl
and ,[26] A unified Kummer-Artin-Schreier sequence, Math. Ann., Vol. 277, 1987, pp. 447-451. | MR | Zbl
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