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Rationality problem for norm one tori
- Source :
- Israel Journal of Mathematics. 241:849-867
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- We classify stably/retract rational norm one tori in dimension $p-1$ where $p$ is a prime number and in dimension up to ten with some minor exceptions.<br />Comment: 12 pages. The statements of Theorem 1.9 and Theorem 1.11 are modified. arXiv admin note: substantial text overlap with arXiv:1210.4525, arXiv:1411.2790
- Subjects :
- Mathematics - Number Theory
General Mathematics
Dimension (graph theory)
Minor (linear algebra)
Prime number
Rationality
Torus
Mathematics - Rings and Algebras
Combinatorics
Mathematics - Algebraic Geometry
Rings and Algebras (math.RA)
Retract
Norm (mathematics)
FOS: Mathematics
11E72, 12F20, 13A50, 14E08, 20C10, 20G15
Number Theory (math.NT)
Algebra over a field
Algebraic Geometry (math.AG)
Mathematics
Subjects
Details
- ISSN :
- 15658511 and 00212172
- Volume :
- 241
- Database :
- OpenAIRE
- Journal :
- Israel Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....06e83fa6fd1ea49f768d102efdaff380
- Full Text :
- https://doi.org/10.1007/s11856-021-2117-1