Abstract:Abstract. Let A be an abelian variety over a global field K. We show that, in "many" cases, Chen-Kuan's invariant M (A[n]), that is the average number of n-torsion points of A over various residue fields of K, has the minimal possible value.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.