ArticleOriginal scientific text

Title

On the Witt rings of function fields of quasihomogeneous varieties

Authors 1

Affiliations

  1. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Keywords

Witt rings, graded rings, selfdual vector bundles, quasihomogeneous varieties, residue homomorphisms

Bibliography

  1. N. Bourbaki, Commutative Algebra, Hermann, 1972.
  2. F. Fernández-Carmena, On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field, Math. Ann. 277 (1987), 453-468.
  3. R. Hartshorne, Algebraic Geometry, Springer, Berlin, 1977.
  4. P. Jaworski, About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces, Math. Z. 218 (1995), 319-342.
  5. P. Jaworski, About the Milnor's K-theory of function fields of quasihomogeneous cones, K-Theory 10 (1996), 83-105.
  6. M. Knebusch, Symmetric bilinear forms over algebraic varieties, in: Conference on Quadratic Forms (Kingston 1976), Queen's Papers in Pure and Appl. Math. 46 1977, 102-283.
  7. T. Y. Lam, Algebraic Theory of Quadratic Forms, Benjamin, Reading, Mass., 1973.
  8. J. Milnor and D. Husemoller, Symmetric Bilinear Forms, Springer, Berlin, 1973.
  9. M. Ojanguren, The Witt Group and the Problem of Lüroth, ETS Editrice Pisa, 1990.
  10. W. Pardon, A relation between Witt group of a regular local ring and the Witt groups of its residue class fields, preprint.
  11. W. Scharlau, Quadratic and Hermitian Forms, Springer, Berlin, 1985.
  12. P. Wagreich, The structure of quasihomogeneous singularities, in: Singularities, Proc. Sympos. Pure Math. 40, Amer. Math. Soc., 1983, 593-611.
Pages:
195-219
Main language of publication
English
Received
1996-05-28
Accepted
1996-09-09
Published
1997
Exact and natural sciences