On cubic Kummer type towers of Garcia, Stichtenoth and Thomas.

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Title: On cubic Kummer type towers of Garcia, Stichtenoth and Thomas.
Authors: Chara, M.1 mchara@santafe-conicet.gov.ar, Toledano, R.1,2 rtoledano@santafe-conicet.gov.ar
Source: Journal of Number Theory. Mar2016, Vol. 160, p666-678. 13p.
Subjects: Kummer surfaces, Mathematical functions, Algebraic field theory, Asymptotic distribution, Mathematical analysis
Abstract: Text In this paper we study the structure of a class of cubic tame towers having finite ramification locus. These towers were defined by Garcia, Stichtenoth and Thomas in 1997. We also prove some extensions of a well known result of H. Lenstra Jr. on the infiniteness of the ramification locus of these towers. Video For a video summary of this paper, please visit https://youtu.be/NYcajjrrVLI . [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Text In this paper we study the structure of a class of cubic tame towers having finite ramification locus. These towers were defined by Garcia, Stichtenoth and Thomas in 1997. We also prove some extensions of a well known result of H. Lenstra Jr. on the infiniteness of the ramification locus of these towers. Video For a video summary of this paper, please visit https://youtu.be/NYcajjrrVLI . [ABSTRACT FROM AUTHOR]
ISSN:0022314X
DOI:10.1016/j.jnt.2015.07.027