Geodesic
Algebraic $K$-theory and sums-of-squares formulas
Documenta mathematica, Tome 10 (2005), pp. 357-366
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We prove a result about the existence of certain 'sums-of-squares' formulas over a field F. A classical theorem uses topological K-theory to show that if such a formula exists over R, then certain powers of 2 must divide certain binomial coefficients. In this paper we use algebraic K-theory to extend the result to all fields not of characteristic 2. 
@article{10_4171_dm_192,
     author = {Daniel Dugger and Daniel C. Isaksen},
     title = {Algebraic $K$-theory and sums-of-squares formulas},
     journal = {Documenta mathematica},
     pages = {357--366},
     year = {2005},
     volume = {10},
     doi = {10.4171/dm/192},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/192/}
}
TY  - JOUR
AU  - Daniel Dugger
AU  - Daniel C. Isaksen
TI  - Algebraic $K$-theory and sums-of-squares formulas
JO  - Documenta mathematica
PY  - 2005
SP  - 357
EP  - 366
VL  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/192/
DO  - 10.4171/dm/192
ID  - 10_4171_dm_192
ER  - 
%0 Journal Article
%A Daniel Dugger
%A Daniel C. Isaksen
%T Algebraic $K$-theory and sums-of-squares formulas
%J Documenta mathematica
%D 2005
%P 357-366
%V 10
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/192/
%R 10.4171/dm/192
%F 10_4171_dm_192
Daniel Dugger; Daniel C. Isaksen. Algebraic $K$-theory and sums-of-squares formulas. Documenta mathematica, Tome 10 (2005), pp. 357-366. doi: 10.4171/dm/192

Cité par Sources :