Skip to main content
Log in

Symmetric bilinear forms, quadratic forms and MilnorK-theory in characteristic two

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Arason, J.K.: Wittring und Galoiscohomologie bei charakteristik 2. J. Reine Angew. Math.307/308, 247–256 (1979)

    Google Scholar 

  2. Baeza, R.: Quadratic forms over semilocal rings. Lecture Notes in Math. no 655, Berlin Heidelberg New York: Springer-Verlag 1978

    Google Scholar 

  3. Bass, H., Tate, J.: Milnor ring of a global field. In: AlgebraicK-theory II. Lecture Notes in Math. no 342, pp. 349–416, Berlin Heidelberg New York: Springer-Verlag 1973

    Google Scholar 

  4. Bloch, S.: On the tangent space to QuillenK-theory. Lecture Notes in Math. in AlgebraicK-theory I, Lecture Notes in Math. no 341, pp. 205–210, Berlin Heidelberg New York: Springer-Verlag 1973

    Google Scholar 

  5. Grothendieck, A.: Eléments de géométrie algébrique IV première partie. Publ. Math. I.H.E.S. Vol. 20, 1964

  6. Illusie, L.: Complexe de De Rham-Witt et cohomologie cristalline. Ann. Sci. École Norm. Sup. 4 ème série,12, 501–661 (1979)

    Google Scholar 

  7. Kato, K.: A generalization of local class field theory by usingK-groups II. J. Fac. Sci. Univ. Tokyo, Sect. IA Math.27, 603–683 (1980)

    Google Scholar 

  8. Kato, K.: Galois cohomology of complete discrete valuation fields. In: Proc. of June, 1980 Oberwolfach algebraicK-theory conference, Lecture Notes in Math. Berlin Heidelberg New York: Springer-Verlag, in press (1982)

    Google Scholar 

  9. Lam, T.Y.: The algebraic theory of quadratic forms. Benjamin, 1973

  10. Milne, J.S.: Duality in flat cohomology of a surface. Ann. Sci. École Norm. Sup. 4 ème série,9, 171–202 (1976)

    Google Scholar 

  11. Milnor, J.: AlgebraicK-theory and quadratic forms. Invent. Math.9, 318–344 (1970)

    Google Scholar 

  12. Milnor, J.: Symmetric inner products in characteristic 2. In: Prospects in mathematics, Ann. of Math. Studies, Princeton Univ. Press, pp. 59–75, (1971)

  13. Milnor, J., Husemoller, D.: Symmetric bilinear forms. Berlin Heidelberg New York: Springer-Verlag 1973

    Google Scholar 

  14. Quillen, D.: Higher algebraicK-theory. I. In: AlgebraicK-theory I, Lecture Notes in Math. no 341, Springer-Verlag 1973

  15. Sah, C.-H.: Symmetric bilinear forms and quadratic forms. J. Algebra20, 144–160 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was written while the author was in I.H.E.S. whose hospitality is gratefully appreciated

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kato, K. Symmetric bilinear forms, quadratic forms and MilnorK-theory in characteristic two. Invent Math 66, 493–510 (1982). https://doi.org/10.1007/BF01389226

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389226

Keywords

Navigation