Consider A an abelian variety of dimension r, defined over a number field F. For a finite prime of F, we denote by F the residue field at . If A has good reduction at , let A- be the reduction of A at . In this paper, under GRH, we obtain an asymptotic formula for the number of primes of F, with NF/Q≤x, for which A-(F) has at most 2. r- 1 cyclic components.
|Number of pages||8|
|Journal||Journal of Number Theory|
|Publication status||Published - 2016 Feb 1|
Bibliographical notePublisher Copyright:
© 2015 Elsevier Inc.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory