Libération des modules projectifs sur certains anneaux de polynômes

Hyman Bass

Séminaire Bourbaki (1973-1974)

  • Volume: 16, page 228-254
  • ISSN: 0303-1179

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Bass, Hyman. "Libération des modules projectifs sur certains anneaux de polynômes." Séminaire Bourbaki 16 (1973-1974): 228-254. <http://eudml.org/doc/109851>.

@article{Bass1973-1974,
author = {Bass, Hyman},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {228-254},
publisher = {Springer-Verlag},
title = {Libération des modules projectifs sur certains anneaux de polynômes},
url = {http://eudml.org/doc/109851},
volume = {16},
year = {1973-1974},
}

TY - JOUR
AU - Bass, Hyman
TI - Libération des modules projectifs sur certains anneaux de polynômes
JO - Séminaire Bourbaki
PY - 1973-1974
PB - Springer-Verlag
VL - 16
SP - 228
EP - 254
LA - fre
UR - http://eudml.org/doc/109851
ER -

References

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  1. [1] H. Bass - Big projective modules are free, Ill. J. Math., 7 (1963), 24-31. Zbl0115.26003MR143789
  2. [2] H. Bass - K-theory and stable algebra, Publ. I.H.E.S., n° 22 (1964), 5-60. Zbl0248.18025MR174604
  3. [3] H. Bass - Algebraic K-theory, W. A. Benjamin, New York (1968). Zbl0174.30302MR249491
  4. [4] H. Bass - Unitary algebraic K-theory, Proc. Battelle Conf. on algebraic K-theory, vol. III, Springer, Lecture Notes n° 343. Zbl0299.18005MR371994
  5. [5] H. Bass, J. Milnor, J.-P. Serre - Solution of the congruence subgroup problem for SLn (n ≥ 3) and Sp2n (n ≤ 2) , Publ. I.H.E.S., n° 33 (1967), 59-137. Zbl0174.05203
  6. [6] M. Karoubi - Périodicité de la K-théorie hermitienne, Proc. Battelle Conf. on algebraic K-theory, vol. III, Springer, Lecture Notes n° 343. Zbl0274.18016MR382400
  7. [7] H. Matsumura - Commutative algebra, W. A. Benjamin, New York (1970). Zbl0211.06501MR266911
  8. [8] M. Ojanguren, R. Sridharan - Cancellation of Azumaya algebras, J. Alg., 18(1971), 501-505. Zbl0223.16006MR276271
  9. [9] B. Segre - Intersezioni complete di due ipersuperficie algebriche in uno spazio affine, et non estendibilita di un theorema di Seshadri, Rev. Roum. Math. Pures et Appl., 9 (1970), 1527-1534. Zbl0216.33201MR277527
  10. [10] C.S. Seshadri - Triviality of vector bundles over the affine space K2 , Proc. Natl. Acad. Sci. USA, 44 (1958), 456-458. Zbl0081.26603MR102527
  11. [11] J.-P. Serre - Faisceaux algébriques cohérents, Ann. Math., 61 (1955), 197-278. Zbl0067.16201MR68874
  12. [12] J.-P. Serre - Modules projectifs et espaces fibrés à fibre vectorielle, Sém. Dubreil, n° 23 (1957/58). Zbl0132.41202MR177011
  13. [13] J.-P. Serre - Sur les modules projectifs, Sém. Dubreil, n° 2 (1960/61). Zbl0132.41301
  14. [14] L.N. Vaserštein - Stable rank of rings and dimensionality of topological spaces. Zbl0239.16028
  15. M.P. Murthy and J. Towber - Algebraic vector bundles on A3 are trivial, Inv. Math., ...., (1974). Zbl0291.13005
  16. M. Roitman - On Serre's problem on projective modules, à paraître. Zbl0329.13008
  17. R.G. Swan - A cancellation theorem for projective modules in the metastable range, à paraître. Zbl0297.14003
  18. A.A. Suslin et L. Vaserštein - Le problème de Serre sur les modules projectifs sur les anneaux de polynômes, et la K-théorie algébrique, Journal d'analyse fonctionnelle, t. 8 (1974), 65-66, [en russe]. Zbl0293.13007MR347802

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