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a-Numbers of cyclic degree p2 covers of the projective line.

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Title: a-Numbers of cyclic degree p2 covers of the projective line.
Authors: Dang, Huy1 (AUTHOR) huydang1130@ncts.ntu.edu.tw, Groen, Steven R.2 (AUTHOR) stg323@lehigh.edu
Source: Journal of Number Theory. Feb2026, Vol. 279, p78-116. 39p.
Subjects: Projective geometry, Mathematics, Scientific models
Abstract: We investigate the a -numbers of Z / p 2 Z -covers in characteristic p > 2 and extend a technique originally introduced by Farnell and Pries for Z / p Z -covers. As an application of our approach, we demonstrate that the a -numbers of "minimal" Z / 9 Z -covers can be deduced from the associated branching datum. [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: 187866120
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: a-Numbers of cyclic degree p2 covers of the projective line.
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  Data: <searchLink fieldCode="AR" term="%22Dang%2C+Huy%22">Dang, Huy</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> huydang1130@ncts.ntu.edu.tw</i><br /><searchLink fieldCode="AR" term="%22Groen%2C+Steven+R%2E%22">Groen, Steven R.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> stg323@lehigh.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Feb2026, Vol. 279, p78-116. 39p.
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  Data: <searchLink fieldCode="DE" term="%22Projective+geometry%22">Projective geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+models%22">Scientific models</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: We investigate the a -numbers of Z / p 2 Z -covers in characteristic p > 2 and extend a technique originally introduced by Farnell and Pries for Z / p Z -covers. As an application of our approach, we demonstrate that the a -numbers of "minimal" Z / 9 Z -covers can be deduced from the associated branching datum. [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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      – Type: doi
        Value: 10.1016/j.jnt.2025.05.016
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      – Code: eng
        Text: English
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        PageCount: 39
        StartPage: 78
    Subjects:
      – SubjectFull: Projective geometry
        Type: general
      – SubjectFull: Mathematics
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      – SubjectFull: Scientific models
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      – TitleFull: a-Numbers of cyclic degree p2 covers of the projective line.
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            NameFull: Dang, Huy
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            NameFull: Groen, Steven R.
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              Text: Feb2026
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              Y: 2026
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              Value: 279
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