Closedness of regular 1 -forms on algebraic surfaces

Niels O. Nygaard

Annales scientifiques de l'École Normale Supérieure (1979)

  • Volume: 12, Issue: 1, page 33-45
  • ISSN: 0012-9593

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Nygaard, Niels O.. "Closedness of regular $1$-forms on algebraic surfaces." Annales scientifiques de l'École Normale Supérieure 12.1 (1979): 33-45. <http://eudml.org/doc/82030>.

@article{Nygaard1979,
author = {Nygaard, Niels O.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {K3 surface; closed regular 1-forms; characteristic p; Brauer group; Hodge-de Rham spectral sequence},
language = {eng},
number = {1},
pages = {33-45},
publisher = {Elsevier},
title = {Closedness of regular $1$-forms on algebraic surfaces},
url = {http://eudml.org/doc/82030},
volume = {12},
year = {1979},
}

TY - JOUR
AU - Nygaard, Niels O.
TI - Closedness of regular $1$-forms on algebraic surfaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 1
SP - 33
EP - 45
LA - eng
KW - K3 surface; closed regular 1-forms; characteristic p; Brauer group; Hodge-de Rham spectral sequence
UR - http://eudml.org/doc/82030
ER -

References

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  1. [1] M. ARTIN and B. MAZUR, Formal Groups Arising from Algebraic varieties (Ann. Scient. Éc. Norm. Sup., 4e série, t. 10, 1977, pp. 87-132). Zbl0351.14023MR56 #15663
  2. [2] P. BERTHELOT, Cohomologie cristalline des schémas de caractéristique p&gt;0 (Lecture Notes in Mathematics, No. 407, Springer-Verlag, Berlin, 1974). Zbl0298.14012MR52 #5676
  3. [3] S. BLOCH, Algebraic K-theory and Crystalline Cohomology (Publ. Math. Inst. Hautes Études Sc., No. 47, pp. 188-268). Zbl0388.14010
  4. [4] P. CARTIER, Modules associés à un groupe formel commutatif. Courbes typiques (C. R. Acad. Sc., Paris, t. 265, série A, 1967, pp. 129-132). Zbl0168.27502MR36 #1449
  5. [5] M. DEMAZURE, Lectures on p-divisible groups (Lecture Notes in Mathematics, No. 302, Springer-Verlag, Berlin, 1972). Zbl0247.14010MR49 #9000
  6. [6] A. GROTHENDIECK, Groupes de Barsotti-Tate et cristaux de Dieudonné, Les presses de l'Université de Montréal, Montréal, 1974. Zbl0331.14021MR54 #5250
  7. [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). Zbl0238.14014
  8. [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). Zbl0238.14015
  9. [9] L. ILLUSIE, Complexe de de Rham-Witt et cohomologie cristalline (in preparation). 
  10. [10] M. LAZARD, Commutative Formal Groups (Lecture Notes in Mathematics, No. 443, Springer-Verlag, Berlin, 1975). Zbl0304.14027MR52 #13861
  11. [11] D. MUMFORD, Pathologies of Modular Algebraic Varieties (Amer. J. Math., Vol. 23, 1961). Zbl0138.42002
  12. [12] D. MUMFORD, Lectures on Curves on an Algebraic Surface, Princeton University Press, Princeton, 1966. Zbl0187.42701MR35 #187
  13. [13] N. NYGAARD, A p-adic Proof of the Non-existence of Vector Fields on K 3 Surfaces (in preparation). 
  14. [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). Zbl0175.47901MR39 #2775
  15. [15] J-P. SERRE, Sur la topologie des variétés algébriques en caractéristique p (Symp. Int. de Top. Alg., Mexico, 1958, pp. 24-53). Zbl0098.13103MR20 #4559
  16. [16] J-L. VERDIER, Cohomologie dans les topos (in SGA 4, Fasc. 2, Lecture Notes in Mathematics, No. 270, Springer Verlag, Berlin, 1972). Zbl0249.14005
  17. [17] W. LANG, Quasi-Elliptic Surfaces in Char. 3 (Thesis, Harvard, 1978). 

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