Demeyer, Jeroen and Perucca, Antonella (2013) The constant of the support problem for abelian varieties. JOURNAL OF NUMBER THEORY, 133 (9). pp. 2843-2856. ISSN 0022-314X,
Full text not available from this repository. (Request a copy)Abstract
Let A be an abelian variety defined over a number field K and let P and Q be points in A(K) satisfying the following condition: for all but finitely many primes p of K. the order of (Q mod p) divides the order of (P mod p). Larsen proved that there exists a positive integer c such that cQ is in the End(K)(A)-module generated by P. We study the minimal value of c and construct some refined counterexamples. (c) 2013 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MOD-P; Abelian varieties; Endomorphism; Maximal order; Support problem; Tori |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2020 05:14 |
| Last Modified: | 03 Apr 2020 05:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16210 |
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