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A note on hyperelliptic curves with ordinary reduction over 2-adic fields.

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Title: A note on hyperelliptic curves with ordinary reduction over 2-adic fields.
Authors: Dokchitser, Vladimir1 (AUTHOR) v.dokchitser@ucl.ac.uk, Morgan, Adam1,2 (AUTHOR) adam.morgan@glasgow.ac.uk
Source: Journal of Number Theory. Mar2023, Vol. 244, p264-278. 15p.
Subjects: Fibers, Pictures, Elliptic curves
Abstract: We study a class of semistable ordinary hyperelliptic curves over 2-adic fields and the special fibre of their minimal regular model. We show that these curves can be controlled using 'cluster pictures', similarly to the case of odd residue characteristic. [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: 160400873
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: A note on hyperelliptic curves with ordinary reduction over 2-adic fields.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Mar2023, Vol. 244, p264-278. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Fibers%22">Fibers</searchLink><br /><searchLink fieldCode="DE" term="%22Pictures%22">Pictures</searchLink><br /><searchLink fieldCode="DE" term="%22Elliptic+curves%22">Elliptic curves</searchLink>
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  Data: We study a class of semistable ordinary hyperelliptic curves over 2-adic fields and the special fibre of their minimal regular model. We show that these curves can be controlled using 'cluster pictures', similarly to the case of odd residue characteristic. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  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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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.jnt.2022.08.009
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
        StartPage: 264
    Subjects:
      – SubjectFull: Fibers
        Type: general
      – SubjectFull: Pictures
        Type: general
      – SubjectFull: Elliptic curves
        Type: general
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      – TitleFull: A note on hyperelliptic curves with ordinary reduction over 2-adic fields.
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            NameFull: Dokchitser, Vladimir
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            NameFull: Morgan, Adam
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          Dates:
            – D: 01
              M: 03
              Text: Mar2023
              Type: published
              Y: 2023
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              Value: 244
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            – TitleFull: Journal of Number Theory
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