Mathematics > Number Theory
[Submitted on 22 Nov 2007 (v1), last revised 19 May 2009 (this version, v5)]
Title:Non-dense sets of subvarieties in a power of an elliptic curve
View PDFAbstract: Let V be an algebraic variety embedded in a power of an elliptic curve, both defined over the algebraic numbers. We show that the set of algebraic points of V which are of bounded height and which satisfy certain algebraic conditions are a non-dense subset of V. This result has implications in the context of the Pink-Zilber Conjecture and Mordel-Lang plus Bogomolov Theorem.
Submission history
From: Evelina Viada [view email][v1] Thu, 22 Nov 2007 10:23:57 UTC (29 KB)
[v2] Mon, 7 Jan 2008 15:21:21 UTC (24 KB)
[v3] Mon, 14 Jan 2008 13:22:46 UTC (24 KB)
[v4] Mon, 10 Nov 2008 12:47:03 UTC (22 KB)
[v5] Tue, 19 May 2009 12:56:59 UTC (22 KB)
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