Jossen, Peter and Perucca, Antonella (2010) A counterexample to the local-global principle of linear dependence for Abelian varieties. COMPTES RENDUS MATHEMATIQUE, 348 (1-2). pp. 9-10. ISSN 1631-073X,
Full text not available from this repository. (Request a copy)Abstract
Let A be an Abelian variety defined over a number field k. Let P be a point in A(k) and let X be a subgroup of A(k). Gajda and Kowalski asked in 2002 whether it is true that the point P belongs to X if and only if the point (P mod p) belongs to (X mod p) for all but finitely many primes p of k. We provide a counterexample. (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MORDELL-WEIL GROUPS; KUMMER-THEORY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Aug 2020 06:00 |
| Last Modified: | 17 Aug 2020 06:00 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25418 |
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