Higher de Rham-Witt complexes of supersingular K3 surfaces

Niels O. Nygaard

Compositio Mathematica (1980)

  • Volume: 42, Issue: 2, page 245-271
  • ISSN: 0010-437X

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Nygaard, Niels O.. "Higher de Rham-Witt complexes of supersingular K3 surfaces." Compositio Mathematica 42.2 (1980): 245-271. <http://eudml.org/doc/89478>.

@article{Nygaard1980,
author = {Nygaard, Niels O.},
journal = {Compositio Mathematica},
keywords = {higher de Rham-Witt complex; Witt vectors; K3 surfaces; formally supersingular surface},
language = {eng},
number = {2},
pages = {245-271},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Higher de Rham-Witt complexes of supersingular K3 surfaces},
url = {http://eudml.org/doc/89478},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Nygaard, Niels O.
TI - Higher de Rham-Witt complexes of supersingular K3 surfaces
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 2
SP - 245
EP - 271
LA - eng
KW - higher de Rham-Witt complex; Witt vectors; K3 surfaces; formally supersingular surface
UR - http://eudml.org/doc/89478
ER -

References

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  1. [1] M. Artin: Supersingular K3 surfaces. Ann. Scient. l'Éc. Norm. Sup. 4e série, 7 (1974) 543-568. Zbl0322.14014MR371899
  2. [2] M. Artin and B. Mazur: Formal groups arising from algebraic varieties. Ann. Scient. l'Ec. Norm. Sup. 4e serie, 10 (1977) 87-132. Zbl0351.14023MR457458
  3. [3] P. Berthelot: Cohomologie Cristalline des Schemas de Caracteristique p &gt; 0. Lecture Notes in Mathematics, No. 407, Springer-Verlag, Berlin (1974). Zbl0298.14012MR384804
  4. [4] S. Bloch: Algebraic K-theory and crystalline cohomology. Publ. Math. Inst. des Hautes Etudes Sci. No. 47 (1978) 187-268. Zbl0388.14010MR488288
  5. [5] L. Illusie: Complexe de de Rham-Witt. Journées de geometrie algébrique de Rennes (1978). Astérisque. Zbl0446.14008
  6. [6] L. Illusie: Complexe de de Rham-Witt et cohomologie cristalline. (To appear). Zbl0436.14007MR565469
  7. [7] B. Jones: The arithmetic theory of quadratic forms. Published by the Mathematical Association of America, John Wiley and Sons, Inc. (1950). Zbl0041.17505MR37321
  8. [8] J.S. Milne: Duality in the flat cohomology of a surface. Ann. Sci. l'Ec. Norm. Sup. 4e serie, 9 (1976) 171-201. Zbl0334.14010MR460331
  9. [9] N. Nygaard: Closedness of regular 1-forms on algebraic surfaces. Ann. Sci. l'Ec. Norm. Sup. Fasc. I, 12 (1979) 33-45. Zbl0428.14008MR532375
  10. [10] N. Nygaard: A p-adic proof of the non-existence of vector fields on K3 surfaces. Ann. of Math.110 (1979) 515-528. Zbl0448.14008MR554382
  11. [11] A. Ogus: Supersingular K3 crystals. Journées de geometrie algébrique de Rennes1978. Astérisque. Zbl0435.14003MR563467
  12. [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. [13] J.-P. Serre: Sur la topologie des varietés algébrique en caracteristique p. Symp. Int. de Top. Alg. Mexico (1958) 24-59. Zbl0098.13103MR98097
  14. [14] T. Shioda: Some examples on unirational varieties in characteristic p. Math. Ann. Zbl0351.14029
  15. [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). Zbl0342.00010MR441982

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