Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Failure of a quadratic analogue of Serre's conjecture


Author: S. Parimala
Journal: Bull. Amer. Math. Soc. 82 (1976), 962-964
MSC (1970): Primary 15A63; Secondary 18F25
MathSciNet review: 0419427
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Hyman Bass, Unitary algebraic 𝐾-theory, (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Springer, Berlin, 1973, pp. 57–265. Lecture Notes in Math., Vol. 343. MR 0371994 (51 #8211)
  • 2. Hyman Bass, Quadratic modules over polynomial rings, Contributions to algebra (collection of papers dedicated to Ellis Kolchin), Academic Press, New York, 1977, pp. 1–23. MR 0472799 (57 #12489)
  • 3. H. Bass, E. H. Connell, and D. L. Wright, Locally polynomial algebras are symmetric algebras, Invent. Math. 38 (1976/77), no. 3, 279–299. MR 0432626 (55 #5613)
  • 4. D. Ferrand, Les modules profectifs de type fini sur un anneau de polynômes sur un corps sont libres, Séminaire Bourbaki, Exposé 484, Juin 1976.
  • 5. G. Horrocks, Projective modules over an extension of a local ring, Proc. London Math. Soc. (3) 14 (1964), 714–718. MR 0169878 (30 #121)
  • 6. John Milnor and Dale Husemoller, Symmetric bilinear forms, Springer-Verlag, New York, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73. MR 0506372 (58 #22129)
  • 7. Max Karoubi, Périodicité de la 𝐾-théorie hermitienne, Algebraic 𝐾-theory, III: Hermitian 𝐾-theory and geometric applications (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), Springer, Berlin, 1973, pp. 301–411. Lecture Notes in Math., Vol. 343 (French). MR 0382400 (52 #3284)
  • 8. Manfred Knebusch, Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, S.-B. Heidelberger Akad. Wiss. Math.-Natur. Kl. 1969/70 (1969/1970), 93–157 (German). MR 0271118 (42 #6001)
  • 9. S. Parimala, Projective modules and Hermitian matrices, J. Pure Appl. Algebra 7 (1976), no. 1, 5–14. MR 0419448 (54 #7469)
  • 10. S. Parimala and R. Sridharan, Projective modules over polynomial rings over division rings, J. Math. Kyoto Univ. 15 (1975), 129–148. MR 0376760 (51 #12935)
  • 11. Daniel Quillen, Projective modules over polynomial rings, Invent. Math. 36 (1976), 167–171. MR 0427303 (55 #337)

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 15A63, 18F25

Retrieve articles in all journals with MSC (1970): 15A63, 18F25


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1976-14234-6
PII: S 0002-9904(1976)14234-6