Periodicity in K -groups of certain fields

Paul Arne Østvær

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 107, page 1-8
  • ISSN: 0041-8994

How to cite

top

Østvær, Paul Arne. "Periodicity in $K$-groups of certain fields." Rendiconti del Seminario Matematico della Università di Padova 107 (2002): 1-8. <http://eudml.org/doc/108580>.

@article{Østvær2002,
author = {Østvær, Paul Arne},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {1-8},
publisher = {Seminario Matematico of the University of Padua},
title = {Periodicity in $K$-groups of certain fields},
url = {http://eudml.org/doc/108580},
volume = {107},
year = {2002},
}

TY - JOUR
AU - Østvær, Paul Arne
TI - Periodicity in $K$-groups of certain fields
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 107
SP - 1
EP - 8
LA - eng
UR - http://eudml.org/doc/108580
ER -

References

top
  1. [BK] S. BLOCH - K. KATO, p-adic étale cohomology, Inst. Hautes Études Sci. Publ. Math., 63 (1986), pp. 107-152. Zbl0613.14017MR849653
  2. [BL] S. BLOCH - S. LICHTENBAUM, A spectral sequence for motivic cohomology, UIUC K-Theory preprint server (1995). 
  3. [FS] E. M. FRIEDLANDER - A. A. SUSLIN, The spectral sequence relating algebraic K-theory to motivic cohomology, UIUC K-Theory preprint server (1999). MR1949356
  4. [Hi] R. HIRSHON, On cancellations in groups, Amer. Math. Monthly, 76 (1969), pp. 1037-1039. Zbl0186.03801MR246971
  5. [Ka1] B. KAHN, Deux théorèmes de comparaison en cohomologie étale; applications, Duke Math. J., 69 (1993), pp. 137-165. Zbl0789.14014MR1201695
  6. [Ka2] B. KAHN, On the Lichtenbaum-Quillen conjectures, Algebraic K-theory and algebraic topology (P. G. Goerss and J. F. Jardine, eds.), NATO ASI Series C, vol. 407, Kluwer, 1993, pp. 147-166. Zbl0885.19004MR1367295
  7. [Le1] M. LEVINE, The indecomposable K3 of fields, Ann. Scient. Éc. Norm. Sup., T.22 (1989), pp. 255-344. Zbl0705.19001MR1005161
  8. [Le2] M. LEVINE, K-theory and motivic cohomology of schemes, UIUC K-Theory preprint server (1999). MR1744925
  9. [MS] A. S. MERKURJEV - A. A. SUSLIN, The group K3 for a field, Math. USSR Izv., 36 (1991), pp. 541-565. Zbl0725.19003MR1072694
  10. [Mi] J. MILNOR, Algebraic K-theory and quadratic forms, Invent. Math., 9 (1970), pp. 318-344. Zbl0199.55501MR260844
  11. [RW] J. ROGNES - C. A. WEIBEL, Two-primary algebraic K-theory of rings of integers in number fields, J. Amer. Math. Soc., 13 (2000), pp. 1-54. Zbl0934.19001MR1697095
  12. [Se] J.-P. SERRE, Galois cohomology, Springer Verlag, 1997. Zbl0902.12004MR1466966
  13. [Su1] A. A. SUSLIN, On the K-theory of algebraically closed fields, Invent. Math., 73 (1983), pp. 241-245. Zbl0514.18008MR714090
  14. [Su2] A. A. SUSLIN, Algebraic K-theory and motivic cohomology, Proc. Intern. Congress Math., Zürich 1994, Birkhäuser, 1995, pp. 342-351. Zbl0841.19003MR1403935
  15. [Su3] A. A. SUSLIN, Higher Chow groups and étale cohomology, Cycles, transfers and motivic homology theories, Annals of Math. Studies, 143, Princeton University Press, 1999. Zbl1019.14001MR1764203
  16. [SV] A. A. SUSLIN - V. VOEVODSKY, The Bloch-Kato conjecture and motivic cohomology with finite coefficients, The arithmetic and geometry of algebraic cycles, NATO ASI Series C, vol. 548, Kluwer, 2000, pp. 117-189. Zbl1005.19001MR1744945
  17. [Vo] V. VOEVODSKY, The Milnor conjecture, Preprint (1996). 
  18. [We] C. A. WEIBEL, Lecture IX, Bloch’s higher Chow groups, Algebraic K-theory and its applications, World Scientific, 1999, pp. 95-104. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.