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Nygaard, Niels O.

Slopes of powers of Frobenius on crystalline cohomology. (English) Zbl 0519.14012

Ann. Sci. Éc. Norm. Supér. (4) 14, 369-401 (1981).
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scan of Zbl 0519.14012

Cited in 2 Reviews
Cited in 24 Documents

MSC:

14F30 \(p\)-adic cohomology, crystalline cohomology

Keywords:

Katz conjecture; geometric Hodge polygon; Newton polygon; algebraic Hodge polygon; formal Brauer group; crystalline cohomology; geometric Hodge number
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\textit{N. O. Nygaard}, Ann. Sci. Éc. Norm. Supér. (4) 14, 369--401 (1981; Zbl 0519.14012)
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References:

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[2] P. BERTHELOT , Cohomologie cristalline des schémas de caracteristique p > 0 (Lecture Notes in Mathematics, No. 407, Springer Verlag, Berlin, Heidelberg, New York, 1974 ). MR 52 #5676 | Zbl 0298.14012 · Zbl 0298.14012
[3] P. BERTHELOT and A. OGUS , Notes on Crystalline Cohomology (Mathematical Notes, Vol. 21, Princeton University Press, 1978 ). MR 58 #10908 | Zbl 0383.14010 · Zbl 0383.14010
[4] L. ILLUSIE , Complexe de De Rham-Witt [Journées de Géométrie algébrique de Rennes, July 1978 (Astérisque, 64)]. · Zbl 0446.14008
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[7] B. MAZUR , Frobenius and the Hodge Filtration (Bull. A.M.S., Vol. 78, 1972 , pp. 653-667). Article | MR 48 #8507 | Zbl 0258.14006 · Zbl 0258.14006 · doi:10.1090/S0002-9904-1972-12976-8
[8] B. MAZUR , Frobenius and the Hodge Filtration, Estimates (Ann. Math., Vol. 98, 1973 , pp. 58-95). MR 48 #297 | Zbl 0261.14005 · Zbl 0261.14005 · doi:10.2307/1970906
[9] N. NYGAARD , A p-adic Proof of the Non-Existence of Vectorfields on K3 Surfaces (Ann. Math., Vol. 110, 1979 , pp. 515-528). MR 80m:14024 | Zbl 0448.14008 · Zbl 0448.14008 · doi:10.2307/1971236
[10] N. NYGAARD , Higher de Rham-Witt Complexes of Supersingular K3 Surfaces (to appear in Comp. Math.). Numdam | Zbl 0482.14009 · Zbl 0482.14009
[11] A. OGUS , Supersingular K3 Crystals [Journées de Géométrie, algébrique de Rennes, July 1978 (Astérisque, 64)]. MR 81e:14024 | Zbl 0435.14003 · Zbl 0435.14003
[12] J.-P. SERRE , Sur la topologie des variétés algébriques, en caractéristique p (Symp. Int. de Top. Alg. Mexico, 1958 , pp. 24-53). MR 20 #4559 | Zbl 0098.13103 · Zbl 0098.13103
[13] N. YUI , On the Jacobian Varieties of Hyperelliptic Curves Over fields of Characteristic p > 2 (J. Alg., Vol. 52, 1978 , pp. 378-410). MR 58 #10920 | Zbl 0404.14008 · Zbl 0404.14008 · doi:10.1016/0021-8693(78)90247-8
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