Everywhere ramified towers of global function fields

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dc.creatorDuursma, Iwan
dc.creatorPoonen, Bjorn
dc.creatorZieve, Michael
dc.date2008-10-16
dc.date.accessioned2026-07-07T10:10:36Z
dc.date.available2026-07-07T10:10:36Z
dc.descriptionWe consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a finite limit. We also construct a tower in which every place ramifies and the sequence N_i/[F_i:F_0] has a positive limit, where N_i is the number of degree-one places of F_i. These towers answer questions posed by Stichtenoth.
dc.description5 pages. This paper was published in 2004. I post it now for greater accessibility
dc.identifierhttps://arxiv.org/abs/0810.2842
dc.identifierhttp://arxiv.org/abs/0810.2842
dc.identifierFinite Fields and Applications, Springer Lecture Notes in Computer Science 2948 (2004), 148--153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171644
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11G20; 14G05, 14G15
dc.titleEverywhere ramified towers of global function fields
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