Back to Search
Start Over
Chow groups of quadrics in characteristic two.
- Source :
-
Journal of Number Theory . Dec2023, Vol. 253, p188-214. 27p. - Publication Year :
- 2023
-
Abstract
- Let X be a smooth projective quadric defined over a field of characteristic 2. We prove that in the Chow group of codimension 2 or 3 of X the torsion subgroup has at most two elements. In codimension 2, we determine precisely when this torsion subgroup is nontrivial. In codimension 3, we show that there is no torsion if dim X ≥ 11. This extends the analogous results in characteristic different from 2, obtained by Karpenko in the nineteen-nineties. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUADRICS
*CLIFFORD algebras
*TORSION
*QUADRATIC forms
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 253
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 170414356
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.06.017