| Titel:
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The Galois closure of Drinfeld modular towers |
| Type:
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Journal articleJournal article |
| Person(er):
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Technical University of Denmark
Technical University of Denmark
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| Uddrag:
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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. |
| Publiceret:
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in journal: Journal of Number Theory (ISSN: 0022314x) (DOI: http://dx.doi.org/10.1016/j.jnt.2010.10.006), vol: 131, issue: 3, pages: 561-577, 2011 |
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