Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593462 | Journal of Number Theory | 2016 | 8 Pages |
Abstract
Consider A an abelian variety of dimension r, defined over a number field F. For ℘ a finite prime of F , we denote by F℘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℘≤xNF/Q℘≤x, for which A¯(F℘) has at most 2r−12r−1 cyclic components.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Cristian Virdol,