Formal groups arising from algebraic varieties

M. Artin; B. Mazur

Annales scientifiques de l'École Normale Supérieure (1977)

  • Volume: 10, Issue: 1, page 87-131
  • ISSN: 0012-9593

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Artin, M., and Mazur, B.. "Formal groups arising from algebraic varieties." Annales scientifiques de l'École Normale Supérieure 10.1 (1977): 87-131. <http://eudml.org/doc/81991>.

@article{Artin1977,
author = {Artin, M., Mazur, B.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {1},
pages = {87-131},
publisher = {Elsevier},
title = {Formal groups arising from algebraic varieties},
url = {http://eudml.org/doc/81991},
volume = {10},
year = {1977},
}

TY - JOUR
AU - Artin, M.
AU - Mazur, B.
TI - Formal groups arising from algebraic varieties
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1977
PB - Elsevier
VL - 10
IS - 1
SP - 87
EP - 131
LA - eng
UR - http://eudml.org/doc/81991
ER -

References

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  1. [1] M. ARTIN and B. WYMAN, Autoduality of the Jacobian, Bowdoin College, 1967 (mimeographed notes). 
  2. [2] M. ARTIN, Algebraization of Formal Moduli I (Global Analysis, Tokyo, 1969). Zbl0205.50402MR41 #5369
  3. [3] M. ARTIN, Versal Deformations and Algebraic Stacks (Invent. Math., Vol. 27, 1974, pp. 165-189). Zbl0317.14001MR53 #2945
  4. [4] M. ARTIN, Supersingular K 3 Surfaces (Annales Sc. de l'Éc. Norm. Sup. 4e série, T. 7, fasc. 4, 1974, pp. 543-568). Zbl0322.14014MR51 #8116
  5. [5] P. BERTHELOT, Cohomologie cristalline des schémas de caractéristique p &gt; 0 (Lect. Notes in Math., N° 107, Springer, Berlin, 1974). Zbl0298.14012MR52 #5676
  6. [6] P. BERTHELOT, Slopes of Frobenius in Crystalline Cohomology (Proceedings of Symposia in Pure Mathematics, Vol. 29, Algebraic Geometry, Arcata 1974, A.M.S., Providence, 1975, pp. 315-328). Zbl0323.14008MR52 #3167
  7. [7] S. BLOCH, Algebraic K-theory and Crystalline Cohomology (to appear in Publ. Math. Inst. Études Sc.). Zbl0388.14010
  8. [8] N. BOURBAKI, Éléments de Mathématique (Algèbre commutative, chap. III, Hermann, Paris, 1961). Zbl0119.03603
  9. [9] P. CARTIER, Modules associés à un groupe formel commutatif. Courbes typiques (Comptes rendus, T. 265, série A, 1967, pp. 129-132). Zbl0168.27502MR36 #1449
  10. [10] P. CARTIER, Relèvement des groupes formels commutatifs (Séminaire Bourbaki, N° 359, 1969). Zbl0215.37401
  11. [11] M. DEMAZURE, Lectures on p-divisible Groups (Lecture Notes in Math., N° 302, Springer, Berlin, 1972). Zbl0247.14010MR49 #9000
  12. [12] M. DEMAZURE et P. GABRIEL, Groupes algébriques, I, North Holland, Amsterdam, 1970. Zbl0203.23401
  13. [13] J. DIEUDONNÉ, Lie Groups and Lie Hyperalgebras over a Field of Characteristic p &gt; 0 (Amer. J. Math., Vol. 77, 1955, pp. 218-244). Zbl0064.25504MR16,789f
  14. [14] M. GREENBERG, Rational Points in Henselian Discrete Valuation Rings (Publ. Math. Inst. Hautes Études Scientifiques, N° 23, 1964). 
  15. [15] A. GROTHENDIECK, Le groupe de Brauer III, Dix exposés sur la cohomologie des schémas, North Holland Amsterdam, 1968. 
  16. [16] A. GROTHENDIECK, Fondements de Géométrie algébrique (mimeographed notes). 
  17. [17] A. GROTHENDIECK, Revêtements étales et groupes fondamentaux (SGA I) (Lectures Notes in Math., N° 224, Springer, Berlin, 1971). Zbl0234.14002MR50 #7129
  18. [18] A. GROTHENDIECK, Groupes de monodromie en géométrie algébrique (Lectures Notes in Math. SGA 7 I, N° 288, Springer, Berlin, 1972, SGA 7 II, N° 340, Springer, Berlin, 1973). MR50 #7134
  19. [19] A. GROTHENDIECK et J. DIEUDONNÉ, Éléments de géométrie algébrique (Publ. Math. Inst. Études Sc., 1960-1968). Zbl0203.23301
  20. [20] J. I. IGUSA, Betti and Picard Numbers of Abstract Algebraic Surfaces (Proc. Nat. Acad. Sc., Vol. 46, 1960, pp. 724-726). Zbl0099.16402MR22 #9496
  21. [21] L. ILLUSIE, Complexe cotangent et déformations I, II (Lectures Notes in Math., N° 239-283, Springer, Berlin, 1971-1972). Zbl0224.13014MR58 #10886a
  22. [22] N. KATZ and W. MESSING, Some Consequences of the Riemann Hypothesis for Varieties over Finite Fields (Invent. Math., Vol. 23, 1974, pp. 73-77). Zbl0275.14011MR48 #11117
  23. [23] N. KOBLITZ, p-adic Variation of the zeta Function (Compositio Math., Vol. 31, 1972, pp. 119-218). Zbl0332.14008MR54 #2658
  24. [24] M. LAZARD, Commutative Formal Groups (Lecture Notes in Math., N° 443, Springer, Berlin, 1975). Zbl0304.14027MR52 #13861
  25. [25] Ju. MANIN, The Theory of Commutative Formal Groups Over Fields of Finite Characteristic (Russ. Math. Surv., Vol. 18, 1963, pp. 1-80 ; Usp. Mat. Nauk, Vol. 18, 1963, pp. 3-90). Zbl0128.15603MR28 #1200
  26. [26] B. MAZUR, Frobenius and the Hodge Filtration (Bull, A.M.S., Vol. 78, 1972, pp. 653-667). Zbl0258.14006MR48 #8507
  27. [27] B. MAZUR, Frobenius and the Hodge Filtration (estimates) (Annals of Math., Vol. 98, 1973, pp. 58-95). Zbl0261.14005MR48 #297
  28. [28] B. MAZUR and W. MESSING, Universal Extensions and One-Dimensional Crystalline Cohomology (Springer Lecture Notes, N° 370, 1974). Zbl0301.14016MR51 #10350
  29. [29] W. MESSING, The Crystals Associated to Barsotti-Tate Groups (Lecture Notes in Math., N° 264, Springer, Berlin, 1972). Zbl0243.14013MR50 #337
  30. [30] M. SCHLESSINGER, Functors of Artin Rings (Trans. A.M.S., Vol. 130, 1968). Zbl0167.49503MR36 #184
  31. [31] J.-P. SERRE, Sur la topologie des variétés algébriques en caractéristique p (Symposium Internacional de topologia Algebraica, 1958, pp. 24-53). Zbl0098.13103MR20 #4559
  32. [32] J.-P. SERRE, Sur les groupes de Galois attachés aux groupes p-divisibles (Proc. of a conference of Loca Fields, published by Springer, Berlin, 1967, pp. 118-131). Zbl0189.02901MR39 #4166
  33. [33] T. SHIODA, Algebraic cycles on certain K 3 surfaces in characteristic p (to appear). Zbl0311.14007
  34. [34] J. TATE, p-divisible groups (Proc. of a conference of Local Fields, published by Springer, Berlin, 1967, pp. 158-183). Zbl0157.27601MR38 #155
  35. [35] J. MILNE, Duality in the flat cohomology of a surface (Ann. scient. Éc. Norm. Sup., 4e série, t. 9, 1976, pp. 171-202). Zbl0334.14010MR57 #325

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