Sur la cohomologie des formes quadratiques

Antonio Paques

Mémoires de la Société Mathématique de France (1979)

  • Volume: 59, page 101-113
  • ISSN: 0249-633X

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Paques, Antonio. "Sur la cohomologie des formes quadratiques." Mémoires de la Société Mathématique de France 59 (1979): 101-113. <http://eudml.org/doc/94782>.

@article{Paques1979,
author = {Paques, Antonio},
journal = {Mémoires de la Société Mathématique de France},
keywords = {quadratic module; local ring; Galois theory; group cohomology; orthogonal group; quadratic forms},
language = {fre},
pages = {101-113},
publisher = {Société mathématique de France},
title = {Sur la cohomologie des formes quadratiques},
url = {http://eudml.org/doc/94782},
volume = {59},
year = {1979},
}

TY - JOUR
AU - Paques, Antonio
TI - Sur la cohomologie des formes quadratiques
JO - Mémoires de la Société Mathématique de France
PY - 1979
PB - Société mathématique de France
VL - 59
SP - 101
EP - 113
LA - fre
KW - quadratic module; local ring; Galois theory; group cohomology; orthogonal group; quadratic forms
UR - http://eudml.org/doc/94782
ER -

References

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  1. [1] M. AUSLANDER and O. GOLDMAN, The Brauer group of a commutative ring, Trans. Amer. Math. Soc., 97 (1960), 367-409. Zbl0100.26304MR22 #12130
  2. [2] H. BASS, Clifford algebras and Spinor norms over a commutative ring, Am. J. Math. (1974) 156-206. Zbl0344.15017MR50 #13092
  3. [3] S.U. CHASE, D.K. HARRISON and A. ROSENBERG, Galois theory and Galois cohomology of commutative rings, Mem. Am. Math. Soc., 52 (1965). Zbl0143.05902MR33 #4118
  4. [4] E.A.M. HORNIX, Stiefel-Whitney invariants of quadratic forms over local rings, Journal of Algebra, 26 (1973), 258-279. Zbl0263.18014MR49 #219
  5. [5] M.A. KNUS et M. OJANGUREN, Théorie de la descente et algèbres d'Azumaya, Lectures Notes in Math., 389, Springer Verlag, Berlin (1974). Zbl0284.13002MR54 #5209
  6. [6] A. MICALI et Ph. REVOY, Modules Quadratiques, Cahiers Mathématiques 10 (1977), MONTPELLIER. Zbl0383.10012
  7. [7] A. MICALI et O.E. VILLAMAYOR, Sur les algèbres de Clifford, Ann. Sc. Ec. Norm. Sup. 4ème Sér. 1 (1968), 271-304. Zbl0182.05304MR41 #244
  8. [8] A. MICALI et O.E. VILLAMAYOR, Algèbres de Clifford et groupe de Brauer, Ann. Sc. Ec. Norm. Sup. 4ème Sér. 4 (1971), 285-310. Zbl0252.15016MR45 #1956
  9. [9] M. NAGATA, Local rings, Interscience Publishers, New York (1962). Zbl0123.03402MR27 #5790
  10. [10] Ph. REVOY, Autour des formes quadratiques, Thèse de Doctorat d'Etat, Math. Montpellier, (1975). 
  11. [11] C. SMALL, The group of quadratic extensions, Journal of Pure and Applied Algebra, 2 (1973), 83-105. Zbl0242.13005MR46 #5297
  12. [12] T.A. SPRINGER, On the equivalence of quadratic forms, Kon. Ned. Akad. Wet. Proc., Ser. A, 62 (1959), 241-253. Zbl0087.03501MR21 #7184
  13. [13] O.E. VILLAMAYOR, Separable algebras and Galois extensions, Osaka J. Math., 4 (1963), 161-171. Zbl0168.28802MR37 #4064

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