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Nygaard, Niels O.

Higher de Rham-Witt complexes of supersingular K3 surfaces. (English) Zbl 0482.14009

Compos. Math. 42, 245-271 (1980).
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Cited in 8 Documents

MSC:

14F30 \(p\)-adic cohomology, crystalline cohomology
14J25 Special surfaces
32J15 Compact complex surfaces
14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
13K05 Witt vectors and related rings (MSC2000)

Keywords:

higher de Rham-Witt complex; Witt vectors; K3 surfaces; formally supersingular surface

Citations:

Zbl 0436.14007; Zbl 0435.14003
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\textit{N. O. Nygaard}, Compos. Math. 42, 245--271 (1980; Zbl 0482.14009)
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References:

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[2] M. Artin and B. Mazur : Formal groups arising from algebraic varieties . Ann. Scient. l’Ec. Norm. Sup. 4e serie, 10 (1977) 87-132. · Zbl 0351.14023
[3] P. Berthelot : Cohomologie Cristalline des Schemas de Caracteristique p > 0 . Lecture Notes in Mathematics, No. 407, Springer-Verlag, Berlin (1974). · Zbl 0298.14012
[4] S. Bloch : Algebraic K-theory and crystalline cohomology . Publ. Math. Inst. des Hautes Etudes Sci. No. 47 (1978) 187-268. · Zbl 0388.14010
[5] L. Illusie : Complexe de de Rham-Witt . Journées de geometrie algébrique de Rennes (1978). Astérisque. · Zbl 0446.14008
[6] L. Illusie : Complexe de de Rham-Witt et cohomologie cristalline . (To appear). · Zbl 0436.14007
[7] B. Jones : The arithmetic theory of quadratic forms . Published by the Mathematical Association of America, John Wiley and Sons, Inc. (1950). · Zbl 0041.17505
[8] J.S. Milne : Duality in the flat cohomology of a surface . Ann. Sci. l’Ec. Norm. Sup. 4e serie, 9 (1976) 171-201. · Zbl 0334.14010
[9] N. Nygaard : Closedness of regular 1-forms on algebraic surfaces . Ann. Sci. l’Ec. Norm. Sup. Fasc. I, 12 (1979) 33-45. · Zbl 0428.14008
[10] N. Nygaard : A p-adic proof of the non-existence of vector fields on K3 surfaces . Ann. of Math. 110 (1979) 515-528. · Zbl 0448.14008
[11] A. Ogus : Supersingular K3 crystals . Journées de geometrie algébrique de Rennes 1978. Astérisque. · Zbl 0435.14003
[12] I.I. Pjateckii-Sapiro and I.R. Safarevich : A Torelli theorem for algebraic surfaces of type K3 . Jzv. Akad. Nauk. SSSR, 35 (1971) 530-572.
[13] J.-P. Serre : Sur la topologie des varietés algébrique en caracteristique p . Symp. Int. de Top. Alg. Mexico (1958) 24-59. · Zbl 0098.13103
[14] T. Shioda : Some examples on unirational varieties in characteristic p . Math. Ann. · Zbl 0351.14029
[15] T. Shioda , and H. Inose : On singular K3 surface . In complex Analysis and Algebraic Geometry. A collection of papers dedicated to K. Kodaira . Editors, W.L. Baily Jr., and T. Shioda, Cambridge Press. (1977). · Zbl 0342.00010
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