Geodesic
Motivic equivalence of quadratic forms
Documenta mathematica, Tome 3 (1998), pp. 341-351
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let Xφ​ and Xψ​ be projective quadrics corresponding to quadratic forms φ and ψ over a field F. If Xφ​ is isomorphic to Xψ​ in the category of Chow motives, we say that φ and ψ are motivic isomorphic and write φ∼mψ. We show that in the case of odd-dimensional forms the condition φ∼mψ is equivalent to the similarity of φ and ψ. After this, we discuss the case of even-dimensional forms. In particular, we construct examples of generalized Albert forms q1​ and q2​ such that q1​∼mq2​ and q1​∼q2​.
DOI : 10.4171/dm/50
Classification : 11E81, 19E15
Mots-clés : quadratic form, quadric, Pfister form, Chow motives 
@article{10_4171_dm_50,
     author = {Oleg T. Izhboldin},
     title = {Motivic equivalence of quadratic forms},
     journal = {Documenta mathematica},
     pages = {341--351},
     year = {1998},
     volume = {3},
     doi = {10.4171/dm/50},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/50/}
}
TY  - JOUR
AU  - Oleg T. Izhboldin
TI  - Motivic equivalence of quadratic forms
JO  - Documenta mathematica
PY  - 1998
SP  - 341
EP  - 351
VL  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/50/
DO  - 10.4171/dm/50
ID  - 10_4171_dm_50
ER  - 
%0 Journal Article
%A Oleg T. Izhboldin
%T Motivic equivalence of quadratic forms
%J Documenta mathematica
%D 1998
%P 341-351
%V 3
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/50/
%R 10.4171/dm/50
%F 10_4171_dm_50
Oleg T. Izhboldin. Motivic equivalence of quadratic forms. Documenta mathematica, Tome 3 (1998), pp. 341-351. doi: 10.4171/dm/50

Cité par Sources :