๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Canonical Heights on Elliptic Curves in Characteristic p

โœ Scribed by Matthew A. Papanikolas

Book ID
111526284
Publisher
Cambridge University Press
Year
2000
Tongue
English
Weight
142 KB
Volume
122
Category
Article
ISSN
0010-437X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

A lower bound for the canonical height o
A lower bound for the canonical height on elliptic curves over abelian extensions
โœ Joseph H. Silverman ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 296 KB

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

On Elliptic Curves over Function Fields
On Elliptic Curves over Function Fields of Characteristic Two
โœ Andreas Schweizer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 175 KB

Using Drinfeld modular curves we determine the places of supersingular reduction of elliptic curves over F 2 r( T) with certain conductors. This enables us to classify and describe explicitly all elliptic curves over F 2 r( T ) having a conductor of degree 4. Our results also imply that extremal ell