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http://dx.doi.org/10.5666/KMJ.2016.56.3.755

On the Invariant of Chen-Kuan for Abelian Varieties  

Moon, Hyunsuk (Department of Mathematics, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.3, 2016 , pp. 755-761 More about this Journal
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.
Keywords
Galois representations; torsion points; Galois orbits;
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  • Reference
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