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A lower bound for the distortion of a knotted curve

โœ Scribed by T. Bereznyak; P. V. Svetlovl


Publisher
Springer US
Year
2009
Tongue
English
Weight
216 KB
Volume
161
Category
Article
ISSN
1573-8795

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Let E=K be an elliptic curve defined over a number field, let ฤฅ be the canonical height on E; and let K ab =K be the maximal abelian extension of K: Extending work of M. Baker (IMRN 29 (2003) 1571-1582), we prove that there is a constant CรฐE=Kรž40 so that every nontorsion point PAEรฐK ab รž satisfies ฤฅ