On the Witt ring of a relative projective line

M. Szyjewski

Colloquium Mathematicae (1998)

  • Volume: 75, Issue: 1, page 53-78
  • ISSN: 0010-1354

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Szyjewski, M.. "On the Witt ring of a relative projective line." Colloquium Mathematicae 75.1 (1998): 53-78. <http://eudml.org/doc/210529>.

@article{Szyjewski1998,
author = {Szyjewski, M.},
journal = {Colloquium Mathematicae},
keywords = {Witt ring of a scheme},
language = {eng},
number = {1},
pages = {53-78},
title = {On the Witt ring of a relative projective line},
url = {http://eudml.org/doc/210529},
volume = {75},
year = {1998},
}

TY - JOUR
AU - Szyjewski, M.
TI - On the Witt ring of a relative projective line
JO - Colloquium Mathematicae
PY - 1998
VL - 75
IS - 1
SP - 53
EP - 78
LA - eng
KW - Witt ring of a scheme
UR - http://eudml.org/doc/210529
ER -

References

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  1. [1] J. K. Arason, Der Wittring projektiver Räume, Math. Ann. 253 (1980), 205-212. Zbl0431.10011
  2. [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. Zbl0823.11017
  3. [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. Zbl0641.14003
  4. [4] P. Jaworski, On the Witt rings of function fields of quasihomogeneous varieties, Colloq. Math. 73 (1997), 195-219. Zbl0923.11063
  5. [5] M. M. Kapranov, On the derived categories of coherent sheaves on some homogeneous spaces, Invent. Math. 92 (1988), 479-508. Zbl0651.18008
  6. [6] M. Knebusch, Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen, Sitzungsber. Heidelb. Akad. Wiss., Springer, Berlin, 1970, 93-157. 
  7. [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. [8] W. Pardon, The exact sequence of localization for Witt groups, in: Lecture Notes in Math. 551, Springer, Berlin, 1976, 336-379. 
  9. [9] D. Quillen, Higher algebraic K-theory I, in: Lecture Notes in Math. 341, Springer, Berlin, 1973, 85-147. Zbl0292.18004
  10. [10] W. Scharlau, Quadratic and Hermitian Forms, Springer, Berlin, 1985. Zbl0584.10010
  11. [11] R. Swan, K-theory of quadric hypersurfaces, Ann. of Math. 122 (1985), 113-153. Zbl0601.14009
  12. [12] M. Szyjewski, An invariant of quadratic forms over schemes, Documenta Math. J. DMV 1(1996), 449-478. Zbl0876.11019
  13. [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. Zbl0865.11034

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