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On p-torsion of p-adic elliptic curves with additive reduction

By René Pannekoek

Abstract

Let E be an elliptic curve with additive reduction over the p-adic numbers, and let G be the group of p-adic points on E that have good reduction. This paper gives necessary and sufficient conditions for G to contain non-trivial p-torsion.Comment: 13 page

Topics: Mathematics - Algebraic Geometry, Mathematics - Number Theory, 14H52
Year: 2013
OAI identifier: oai:arXiv.org:1211.5833

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