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Nygaard, Niels O.

Closedness of regular 1-forms on algebraic surfaces. (English) Zbl 0428.14008

Ann. Sci. Éc. Norm. Supér. (4) 12, 33-45 (1978).
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scan of Zbl 0428.14008

Cited in 1 Review
Cited in 8 Documents

MSC:

14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
14F40 de Rham cohomology and algebraic geometry
14J20 Arithmetic ground fields for surfaces or higher-dimensional varieties

Keywords:

K3 surface; closed regular 1-forms; characteristic p; Brauer group; Hodge-de Rham spectral sequence
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\textit{N. O. Nygaard}, Ann. Sci. Éc. Norm. Supér. (4) 12, 33--45 (1978; Zbl 0428.14008)
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References:

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[2] P. BERTHELOT , Cohomologie cristalline des schémas de caractéristique p>0 (Lecture Notes in Mathematics, No. 407, Springer-Verlag, Berlin, 1974 ). MR 52 #5676 | Zbl 0298.14012 · Zbl 0298.14012
[3] S. BLOCH , Algebraic K-theory and Crystalline Cohomology (Publ. Math. Inst. Hautes Études Sc., No. 47, pp. 188-268). Numdam | Zbl 0388.14010 · Zbl 0388.14010
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[7] A. GROTHENDIECK , Techniques de descente et théorèmes d’existence en géométrie algébrique. V. Les schémas de Picard : théorèmes d’existence (Séminaire Bourbaki, No. 232, 1961 / 1962 ). Numdam | Zbl 0238.14014 · Zbl 0238.14014
[8] A. GROTHENDIECK , Techniques de descente et théorèmes d’existence en géométrie algébrique. VI. Les schémas de Picard : propriétés générales (Séminaire Bourbaki, No. 237, 1961 / 1962 ). Numdam | Zbl 0238.14015 · Zbl 0238.14015
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[12] D. MUMFORD , Lectures on Curves on an Algebraic Surface , Princeton University Press, Princeton, 1966 . MR 35 #187 | Zbl 0187.42701 · Zbl 0187.42701
[13] N. NYGAARD , A p-adic Proof of the Non-existence of Vector Fields on K 3 Surfaces (in preparation). · Zbl 0448.14008
[14] T. ODA , The First de Rham Cohomology Group and Dieudonné Modules (Ann. Scient. Éc. Norm. Sup., 4e série, t. 2, 1969 , pp. 63-135). Numdam | MR 39 #2775 | Zbl 0175.47901 · Zbl 0175.47901
[15] 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
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[17] W. LANG , Quasi-Elliptic Surfaces in Char . 3 (Thesis, Harvard, 1978 ).
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