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Modeles minimaux des variétés abeliennes sur les corps locaux et globaux. (French) Zbl 0132.41403
References:
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[2]W. L. Chow, Projective embedding of homogeneous spaces,Lefschetz Conference Volume, Princeton University Press, 1957.
[3]J. Dieudonné etA. Grothendieck, Éléments de géométrie algébrique, I,Publ. Math. Inst. Htes Ét. scientifiques, Paris,4, 1960.
[4]M. Greenberg,Pro-algebraic structure on the rational subgroup of a p-adic abelian variety, Thesis, Princeton Univ., 1959.
[5]M. Greenberg, Schemata over local rings,Ann. Math., 73 (1961), pp. 624–648. · Zbl 0115.39004 · doi:10.2307/1970321
[6]J. Igusa, Fibre systems of jacobian varieties,Amer. J. Math., vol. 78 (1956), pp. 171–199 et 745–760. · Zbl 0074.15803 · doi:10.2307/2372489
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[10]S. Lang,Abelian varieties, Interscience Tracts, New York, 1959.
[11]M. Lazard, Bemerkungen zur Theorie der bewerteten Körper und Ringe,Math. Nach, 12 (1954), pp. 67–73. · Zbl 0057.03001 · doi:10.1002/mana.19540120105
[12]E. Lutz, Sur l’équationy 2=x 3x dans les corps p-adiques,J. Crelle, 177 (1937), pp. 238–247. · doi:10.1515/crll.1937.177.238
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[16]P. Samuel, Algèbre locale,Mém. Sci. Math., no 123, Paris, Gauthier-Villars, 1953.
[17]G. Shimura (cité [R]), Reduction of algebraic varieties with respect to a discrete valuation of the basic field,Amer. J. Math., 77 (1955), pp. 134–176. · Zbl 0065.36701 · doi:10.2307/2372425
[18]J.-P. Serre,Groupes algébriques et corps de classes, Act. sc. et indust., no 1264, Paris, Hermann, 1959.
[19]J.-P. Serre, Groupes proalgébriques,Publ. Math. Inst. Htes Ét. scientifiques, Paris, 7, 1962.
[20]J.-P. Serre,Corps locaux, Act. sc. et indust., no 1296, Paris, Hermann, 1962.
[21]A. Weil (cité [F]).Foundations of Algebraic Geometry, Amer. Math. Soc. Colloquium Publ, vol. 29, New York, 1946, 2e éd.
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[26]O. Zariski, The problem of minimal models in the theory of algebraic surfaces,Amer. J. Math., 80, no 1, 1958), pp. 146–184. · Zbl 0085.36202 · doi:10.2307/2372827