Skip to main content
Log in

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. S. Bloch, The moving lemma for higher Chow groups, J. Algebr. Geom., 3(3) (1994), 537–568.

    Google Scholar 

  2. J. M. Boardman, The eightfold way to BP-operations, In Current trends in algebraic topology, pp. 187–226. Providence: AMS/CMS, 1982.

  3. P. May, A general algberaic approach to Steenrod operations, In The Steenrod algebra and its applications, volume 168 of Lecture Notes in Math., pp. 153–231, Springer, 1970.

  4. V. Voevodsky, C. Mazza, and C. Weibel, Lectures on motivic cohomology, I, www.math.ias.edu/∼vladimir/seminar.html, 2001.

  5. J. Milnor, The Steenrod algebra and its dual, Annals of Math., 67(1) (1958), 150–171.

  6. J. Milnor, Algebraic K-theory and quadratic forms, Invent. Math., 9 (1970), 318–344.

  7. F. Morel and V. Voevodsky, A 1-homotopy theory of schemes, Publ. Math. IHES, 90 (1999), 45–143.

  8. N. E. Steenrod and D. B. Epstein, Cohomology operations, Princeton: Princeton Univ. Press, 1962.

  9. A. Suslin and V. Voevodsky, Bloch-Kato conjecture and motivic cohomology with finite coefficients, In The arithmetic and geometry of algebraic cycles, pp. 117–189, Kluwer, 2000.

  10. V. Voevodsky, The Milnor Conjecture, www.math.uiuc.edu/K-theory/170, 1996.

  11. V. Voevodsky, Triangulated categories of motives over a field, In Cycles, transfers and motivic homology theories, Annals of Math Studies, pp. 188–238, Princeton: Princeton Univ. Press, 2000.

  12. V. Voevodsky, Lectures on motivic cohomology 2000/2001 (written by P. Deligne), www.math.ias.edu/∼vladimir/rear.html, 2000/2001.

  13. V. Voevodsky, Cancellation theorem, www.math.uiuc.edu/K-theory/541, 2002.

  14. V. Voevodsky, Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic, Int. Math. Res. Not. 7 (2002), 351–355.

  15. V. Voevodsky, Motivic cohomology with Z/2-coefficients, Publ. Math. IHES (this volume), 2003.

  16. V. Voevodsky, E. M. Friedlander, and A. Suslin, Cycles, transfers and motivic homology theories, Princeton: Princeton University Press, 2000.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir Voevodsky.

About this article

Cite this article

Voevodsky, V. Reduced power operations in motivic cohomology. Publ. Math. 98, 1–57 (2003). https://doi.org/10.1007/s10240-003-0009-z

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10240-003-0009-z

Navigation