On the Witt rings of function fields of quasihomogeneous varieties

Piotr Jaworski

Colloquium Mathematicae (1997)

  • Volume: 73, Issue: 2, page 195-219
  • ISSN: 0010-1354

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Jaworski, Piotr. "On the Witt rings of function fields of quasihomogeneous varieties." Colloquium Mathematicae 73.2 (1997): 195-219. <http://eudml.org/doc/210486>.

@article{Jaworski1997,
author = {Jaworski, Piotr},
journal = {Colloquium Mathematicae},
keywords = {Witt rings; graded rings; selfdual vector bundles; quasihomogeneous varieties; residue homomorphisms; Witt ring; valuation; residue homomorphism; graded ring; quasihomogeneous variety},
language = {eng},
number = {2},
pages = {195-219},
title = {On the Witt rings of function fields of quasihomogeneous varieties},
url = {http://eudml.org/doc/210486},
volume = {73},
year = {1997},
}

TY - JOUR
AU - Jaworski, Piotr
TI - On the Witt rings of function fields of quasihomogeneous varieties
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 2
SP - 195
EP - 219
LA - eng
KW - Witt rings; graded rings; selfdual vector bundles; quasihomogeneous varieties; residue homomorphisms; Witt ring; valuation; residue homomorphism; graded ring; quasihomogeneous variety
UR - http://eudml.org/doc/210486
ER -

References

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  1. [1] N. Bourbaki, Commutative Algebra, Hermann, 1972. 
  2. [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. Zbl0641.14003
  3. [3] R. Hartshorne, Algebraic Geometry, Springer, Berlin, 1977. 
  4. [4] P. Jaworski, About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces, Math. Z. 218 (1995), 319-342. Zbl0827.13010
  5. [5] P. Jaworski, About the Milnor's K-theory of function fields of quasihomogeneous cones, K-Theory 10 (1996), 83-105. Zbl0844.19003
  6. [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. [7] T. Y. Lam, Algebraic Theory of Quadratic Forms, Benjamin, Reading, Mass., 1973. 
  8. [8] J. Milnor and D. Husemoller, Symmetric Bilinear Forms, Springer, Berlin, 1973. 
  9. [9] M. Ojanguren, The Witt Group and the Problem of Lüroth, ETS Editrice Pisa, 1990. 
  10. [10] W. Pardon, A relation between Witt group of a regular local ring and the Witt groups of its residue class fields, preprint. 
  11. [11] W. Scharlau, Quadratic and Hermitian Forms, Springer, Berlin, 1985. Zbl0584.10010
  12. [12] P. Wagreich, The structure of quasihomogeneous singularities, in: Singularities, Proc. Sympos. Pure Math. 40, Amer. Math. Soc., 1983, 593-611. Zbl0545.14028

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