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The local Lehmer inequality for Drinfeld modules

✍ Scribed by Dragos Ghioca

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
265 KB
Volume
123
Category
Article
ISSN
0022-314X

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✦ Synopsis

We give a lower bound for the local height of a nontorsion element of a Drinfeld module.

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Let K be a finitely generated field of transcendence degree 1 over a finite field. Let M be a t-motive over K of characteristic p 0 , which is semisimple up to isogeny. The isogeny conjecture for M says that there are only finitely many isomorphism classes of t-motives M over K, for which there exis