| Title | Chow groups of quadrics in characteristic two |
| Author | |
| Corresponding Author | Sun，Peng |
| Publication Years | 2023-12-01
|
| DOI | |
| Source Title | |
| ISSN | 0022-314X
|
| EISSN | 1096-1658
|
| Volume | 253Pages:188-214 |
| 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 dimX≥11. This extends the analogous results in characteristic different from 2, obtained by Karpenko in the nineteen-nineties. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | First
|
| Funding Project | National Natural Science Foundation of China[11801260];Basic and Applied Basic Research Foundation of Guangdong Province[2021A1515010396];National Key Research and Development Program of China[2021YFA1001400];
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| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics
|
| WOS Accession No | WOS:001050570000001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Scopus EID | 2-s2.0-85166208654
|
| Data Source | Scopus
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/559447 |
| Department | Department of Mathematics |
| Affiliation | 1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 2.Univ. Artois,UR 2462,Laboratoire de Mathématiques de Lens (LML),Lens,F-62300,France 3.School of Mathematics,Hunan University,Changsha,410082,China |
| First Author Affilication | Department of Mathematics |
| First Author's First Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Hu，Yong,Laghribi，Ahmed,Sun，Peng. Chow groups of quadrics in characteristic two[J]. Journal of Number Theory,2023,253:188-214.
|
| APA |
Hu，Yong,Laghribi，Ahmed,&Sun，Peng.(2023).Chow groups of quadrics in characteristic two.Journal of Number Theory,253,188-214.
|
| MLA |
Hu，Yong,et al."Chow groups of quadrics in characteristic two".Journal of Number Theory 253(2023):188-214.
|
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