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Intersection matrices for special fibers of X0(pr) with r∈{3,4}.

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Title: Intersection matrices for special fibers of X0(pr) with r∈{3,4}.
Authors: Banerjee, Debargha1 (AUTHOR) debargha.banerjee@gmail.com, Chaudhuri, Chitrabhanu2 (AUTHOR) chitrabhanu@niser.ac.in, Majumder, Priyanka3 (AUTHOR) pmpriyanka57@gmail.com
Source: Journal of Algebra & Its Applications. Sep2026, Vol. 25 Issue 11, p1-50. 50p.
Subjects: Intersection theory, Matrices (Mathematics), Prime numbers, Sheaf theory, Asymptotic analysis, Riemann surfaces
Abstract: In this paper, we explicitly compute intersection matrices for modular curves of the form X 0 (p r) with r ∈ { 3 , 4 } and for prime p > 3. As an application, we compute an asymptotic expression for the Arakelov self-intersection number of the relative dualizing sheaf of Edixhoven's minimal regular model for the modular curve X 0 (p r) over ℚ , as p → ∞ and r as above. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company 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.)
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Header DbId: egs
DbLabel: Engineering Source
An: 193143785
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PubTypeId: academicJournal
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  Data: Intersection matrices for special fibers of X0(pr) with r∈{3,4}.
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  Data: <searchLink fieldCode="AR" term="%22Banerjee%2C+Debargha%22">Banerjee, Debargha</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> debargha.banerjee@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Chaudhuri%2C+Chitrabhanu%22">Chaudhuri, Chitrabhanu</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> chitrabhanu@niser.ac.in</i><br /><searchLink fieldCode="AR" term="%22Majumder%2C+Priyanka%22">Majumder, Priyanka</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> pmpriyanka57@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Algebra+%26+Its+Applications%22">Journal of Algebra & Its Applications</searchLink>. Sep2026, Vol. 25 Issue 11, p1-50. 50p.
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  Data: <searchLink fieldCode="DE" term="%22Intersection+theory%22">Intersection theory</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Prime+numbers%22">Prime numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Sheaf+theory%22">Sheaf theory</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+analysis%22">Asymptotic analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Riemann+surfaces%22">Riemann surfaces</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: In this paper, we explicitly compute intersection matrices for modular curves of the form X 0 (p r) with r ∈ { 3 , 4 } and for prime p > 3. As an application, we compute an asymptotic expression for the Arakelov self-intersection number of the relative dualizing sheaf of Edixhoven's minimal regular model for the modular curve X 0 (p r) over ℚ , as p → ∞ and r as above. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company 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: 10.1142/S0219498826501239
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 50
        StartPage: 1
    Subjects:
      – SubjectFull: Intersection theory
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
      – SubjectFull: Prime numbers
        Type: general
      – SubjectFull: Sheaf theory
        Type: general
      – SubjectFull: Asymptotic analysis
        Type: general
      – SubjectFull: Riemann surfaces
        Type: general
    Titles:
      – TitleFull: Intersection matrices for special fibers of X0(pr) with r∈{3,4}.
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            NameFull: Banerjee, Debargha
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            NameFull: Chaudhuri, Chitrabhanu
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            – D: 15
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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            – TitleFull: Journal of Algebra & Its Applications
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