Article ID Journal Published Year Pages File Type
4595661 Journal of Number Theory 2006 21 Pages PDF
Abstract

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 p0, 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 exists a separable isogeny M′→M of degree not divisible by p0. For the t-motive associated to a Drinfeld module this was proved by Taguchi. In this article we prove it for the t-motive associated to any direct sum of Drinfeld modules of characteristic p0≠0.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory