Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415732 | Journal of Number Theory | 2011 | 17 Pages |
Abstract
In this article we study Drinfeld modular curves X0(pn) associated to congruence subgroups Î0(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)âX0(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alp Bassa, Peter Beelen,