On the Witt ring of a relative projective line

• Autorzy: M. Szyjewski
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 75
• Numer: 1
• Strony: 53-78

Daty

wydano

1998

otrzymano

1996-09-05

poprawiono

1996-12-03

poprawiono

1997-03-14

Twórcy

autor

M. Szyjewski

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Bibliografia

• [1] J. K. Arason, Der Wittring projektiver Räume, Math. Ann. 253 (1980), 205-212.
• [2] J. K. Arason, R. Elman and B. Jacob, On the Witt ring of elliptic curves, in: K-theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras, Proc. Sympos. Pure Math. 58, Part 2, Amer. Math. Soc., 1995, 1-25.
• [3] 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.
• [4] P. Jaworski, On the Witt rings of function fields of quasihomogeneous varieties, Colloq. Math. 73 (1997), 195-219.
• [5] M. M. Kapranov, On the derived categories of coherent sheaves on some homogeneous spaces, Invent. Math. 92 (1988), 479-508.
• [6] M. Knebusch, Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, Sitzungsber. Heidelb. Akad. Wiss., Springer, Berlin, 1970, 93-157.
• [7] 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.
• [8] W. Pardon, The exact sequence of localization for Witt groups, in: Lecture Notes in Math. 551, Springer, Berlin, 1976, 336-379.
• [9] D. Quillen, Higher algebraic K-theory I, in: Lecture Notes in Math. 341, Springer, Berlin, 1973, 85-147.
• [10] W. Scharlau, Quadratic and Hermitian Forms, Springer, Berlin, 1985.
• [11] R. Swan, K-theory of quadric hypersurfaces, Ann. of Math. 122 (1985), 113-153.
• [12] M. Szyjewski, An invariant of quadratic forms over schemes, Documenta Math. J. DMV 1(1996), 449-478.
• [13] M. Szyjewski, Witt rings of Grassmann varieties, in: Proc. Conf. on Algebraic K-Theory, Poznań, September 4-8, 1995, Contemp. Math. 199, Amer. Math. Soc., 1996, 185-210.