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Higher Heegner points on elliptic curves over function fields

✍ Scribed by Florian Breuer

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 273 KB
Volume: 104
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2003.09.001

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✦ Synopsis

Let E be a modular elliptic curve defined over a rational function field k of odd characteristic. We construct a sequence of Heegner points on E; defined over a Z N p -tower of finite extensions of k; and show that these Heegner points generate a group of infinite rank. This is a function field analogue of a result of Cornut and Vatsal.

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