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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]
Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 111098080
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On cubic Kummer type towers of Garcia, Stichtenoth and Thomas.
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  Data: <searchLink fieldCode="AR" term="%22Chara%2C+M%2E%22">Chara, M.</searchLink><relatesTo>1</relatesTo><i> mchara@santafe-conicet.gov.ar</i><br /><searchLink fieldCode="AR" term="%22Toledano%2C+R%2E%22">Toledano, R.</searchLink><relatesTo>1,2</relatesTo><i> rtoledano@santafe-conicet.gov.ar</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Mar2016, Vol. 160, p666-678. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Kummer+surfaces%22">Kummer surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+field+theory%22">Algebraic field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+distribution%22">Asymptotic distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink>
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  Label: Abstract
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Number Theory is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jnt.2015.07.027
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 666
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      – SubjectFull: Kummer surfaces
        Type: general
      – SubjectFull: Mathematical functions
        Type: general
      – SubjectFull: Algebraic field theory
        Type: general
      – SubjectFull: Asymptotic distribution
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      – SubjectFull: Mathematical analysis
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      – TitleFull: On cubic Kummer type towers of Garcia, Stichtenoth and Thomas.
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            NameFull: Chara, M.
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              Text: Mar2016
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