کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415732 1335769 2011 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Galois closure of Drinfeld modular towers
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The Galois closure of Drinfeld modular towers
چکیده انگلیسی

In this article we study Drinfeld modular curves X0(pn) associated to congruence subgroups Γ0(pn) of GL(2,Fq[T]) where p is a prime of Fq[T]. For n>r>0 we compute the extension degrees and investigate the structure of the Galois closures of the covers X0(pn)→X0(pr) and some of their variations. The results have some immediate implications for the Galois closures of two well-known optimal wild towers of function fields over finite fields introduced by Garcia and Stichtenoth, for which the modular interpretation was given by Elkies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 131, Issue 3, March 2011, Pages 561-577
نویسندگان
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