Quadratic field extensions and residue homomorphisms of Witt rings

Piotr Jaworski

Acta Arithmetica (1993)

  • Volume: 64, Issue: 4, page 303-323
  • ISSN: 0065-1036

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Piotr Jaworski. "Quadratic field extensions and residue homomorphisms of Witt rings." Acta Arithmetica 64.4 (1993): 303-323. <http://eudml.org/doc/206553>.

@article{PiotrJaworski1993,
author = {Piotr Jaworski},
journal = {Acta Arithmetica},
keywords = {Witt ring; rational function field; exact triangle; Witt rings of quadratic extensions; residue homomorphisms},
language = {eng},
number = {4},
pages = {303-323},
title = {Quadratic field extensions and residue homomorphisms of Witt rings},
url = {http://eudml.org/doc/206553},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Piotr Jaworski
TI - Quadratic field extensions and residue homomorphisms of Witt rings
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 4
SP - 303
EP - 323
LA - eng
KW - Witt ring; rational function field; exact triangle; Witt rings of quadratic extensions; residue homomorphisms
UR - http://eudml.org/doc/206553
ER -

References

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  1. [1] R. Elman and T. Y. Lam, Quadratic forms under algebraic extensions, Math. Ann. 219 (1976), 21-42. Zbl0302.10025
  2. [2] T. Y. Lam, The Algebraic Theory of Quadratic Forms, Benjamin, Reading, Mass., 1973. Zbl0259.10019
  3. [3] F. Lorenz, Quadratische Formen über Körpern, Lecture Notes in Math. 130, Springer, 1970. Zbl0211.35303
  4. [4] J. Milnor and D. Husemoller, Symmetric Bilinear Forms, Springer, Berlin 1973. 
  5. [5] R. Parimala, Witt groups of conics, elliptic and hyperelliptic curves, J. Number Theory 28 (1988), 69-93. Zbl0696.14016
  6. [6] R. Parimala and R. Sujatha, Witt groups of hyperelliptic curves, Comment. Math. Helv. 65 (1990), 559-580. Zbl0741.11023
  7. [7] W. Scharlau, Quadratic and Hermitian Forms, Springer, 1985. Zbl0584.10010
  8. [8] J. E. Shick, Quadratic forms over function-fields of elliptic and hyperelliptic curves, PhD thesis, Univ. of California, San Diego 1991. 

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