Mathematics – Number Theory
Scientific paper
2010-12-21
Mathematics
Number Theory
Scientific paper
In 2007, B. Poonen (unpublished) studied the $p$--adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bella\"iche asked the same question for the special case of Abelian varieties. These problems are $p$--adic analogues of a question raised earlier by B. Mazur on the density of rational points for the real topology. For a simple Abelian variety over the field of rational numbers, we show that the actual $p$--adic rank is at least the third of the expected value.
No associations
LandOfFree
On the $p$-adic closure of a subgroup of rational points on an Abelian variety does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the $p$-adic closure of a subgroup of rational points on an Abelian variety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the $p$-adic closure of a subgroup of rational points on an Abelian variety will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-581092