On the Witt rings of function fields of quasihomogeneous varieties

• Autorzy: Piotr Jaworski
• Języki publikacji: EN

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 73
• Numer: 2
• Strony: 195-219

Daty

wydano

1997

otrzymano

1996-05-28

poprawiono

1996-09-09

Twórcy

autor

Piotr Jaworski

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

Bibliografia

• [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.