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Sur les séries \(L\) d’une variété algébrique. (French) Zbl 0089.26301


References:

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[2] E. ARTIN , Zur theorie der L-Reihen mit allgemeinen gruppencharakteren (Abh. math. Sem. Hamburg Univ., Bd. 8, 1930 ). JFM 56.0173.02 · JFM 56.0173.02
[3] W. L. CHOW , Abstract theory of the Picard and Albanese varieties (à paraître dans les Annals of Mathematics).
[4] W. KRULL , Galoische theorie der ganz abgeschlossene Stellenringe (Sitzungsberichte der phys.-med. Soz. zu Erlangen, Bd. 67-68, 1935 - 1936 ). Zbl 0016.34101 | JFM 63.0086.03 · Zbl 0016.34101
[5] S. LANG , L-series of a covering (à paraître aux Proceedings of the National Academy, U.S.A., 1956 ). MR 19,320b | Zbl 0071.15805 · Zbl 0071.15805 · doi:10.1073/pnas.42.7.422
[6] S. LANG , Unramified class field theory (à paraître dans les Annals of Mathematics, 1956 ). Zbl 0089.26201 · Zbl 0089.26201 · doi:10.2307/1969975
[7] S. LANG et A. WEIL , Number of points of varieties in finite fields (Amer. J. Math., vol. 72, No 4, octobre 1954 , p. 818-827). MR 16,398d | Zbl 0058.27202 · Zbl 0058.27202 · doi:10.2307/2372655
[8] T. MATSUSAKA , The theorem of Bertini on linear systems in modular fields (Mem. College of Science, Univ. of Kyoto, Series A, Math., vol. 26, No 1, juillet 1950 ). Article | MR 12,853b | Zbl 0045.42101 · Zbl 0045.42101
[9] M. NAGATA , On the theory of Henselian Rings (Nagoya math. J. vol. 5, 1953 , p. 45-57, et vol. 7, 1954 , p. 1-19). Article | Zbl 0051.02601 · Zbl 0051.02601
[10] Y. NAKAI , On the genus of algebraic curves (Mem. College of Science, Univ. of Kyoto, Series A, Math., No 2, 1952 ). Article | MR 14,680h | Zbl 0047.39604 · Zbl 0047.39604
[11] L. B. NISNEVIC , Ueber die Anzahl der Punkte einer algebraische Mannigfaltigkeit in einem endlichen Primkörper (en russe Doklady Akad. Nauk U.S.S.R., 1954 ). Zbl 0057.28101 · Zbl 0057.28101
[12] F. K. SCHMIDT , Die theorie der Klassenkörper... (Sitzungsberichten der phys. med. Soz. zu Erlangen, Bd. 62, 1930 , p. 267-284). JFM 57.0207.02 · JFM 57.0207.02
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[14] A. WEIL , Sur les courbes algébriques et les variétés qui s’en déduisent (Paris, Hermann, 1948 ). MR 10,262c | Zbl 0036.16001 · Zbl 0036.16001
[15] A. WEIL , Footnote to a recent paper (Amer. J. Math., vol. 76, No 2, 1954 ). MR 15,778c | Zbl 0056.03702 · Zbl 0056.03702 · doi:10.2307/2372576
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[17] E. WITT , Zyklische Körper und algebren der characteristik p vom Grad pn (J. reine angew. Math., Bd. 176, 1936 ). Article | Zbl 0016.05101 | JFM 62.1112.03 · Zbl 0016.05101
[18] O. ZARISKI , Pencils on an algebraic variety and a new proof of a theorem of Bertini (Trans. Amer. math. Soc., 1941 ). MR 2,345a | Zbl 0025.21502 | JFM 67.0618.01 · Zbl 0025.21502 · doi:10.2307/1989911
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