کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595661 1335836 2006 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The isogeny conjecture for t-motives associated to direct sums of Drinfeld modules
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The isogeny conjecture for t-motives associated to direct sums of Drinfeld modules
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 117, Issue 2, April 2006, Pages 355-375