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On local representation densities of Hermitian forms and special cycles II.

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Title: On local representation densities of Hermitian forms and special cycles II.
Authors: Cho, Sungyoon1 (AUTHOR) sungyooncho@postech.ac.kr
Source: Journal of Number Theory. Apr2026, Vol. 281, p169-204. 36p.
Subjects: Hermitian forms, Intersection numbers, Algebraic geometry, Mathematics, Number theory, Hypothesis
Abstract: In this paper, we prove that there are certain relations among representation densities and provide an efficient way to compute representation densities by using these relations. As an application, we compute certain arithmetic intersection numbers of special cycles on unitary Rapoport-Zink spaces and propose a conjecture on these. [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: 189762255
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On local representation densities of Hermitian forms and special cycles II.
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  Data: <searchLink fieldCode="AR" term="%22Cho%2C+Sungyoon%22">Cho, Sungyoon</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sungyooncho@postech.ac.kr</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Number+Theory%22">Journal of Number Theory</searchLink>. Apr2026, Vol. 281, p169-204. 36p.
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  Data: <searchLink fieldCode="DE" term="%22Hermitian+forms%22">Hermitian forms</searchLink><br /><searchLink fieldCode="DE" term="%22Intersection+numbers%22">Intersection numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+geometry%22">Algebraic geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hypothesis%22">Hypothesis</searchLink>
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  Data: In this paper, we prove that there are certain relations among representation densities and provide an efficient way to compute representation densities by using these relations. As an application, we compute certain arithmetic intersection numbers of special cycles on unitary Rapoport-Zink spaces and propose a conjecture on these. [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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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jnt.2025.09.020
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 36
        StartPage: 169
    Subjects:
      – SubjectFull: Hermitian forms
        Type: general
      – SubjectFull: Intersection numbers
        Type: general
      – SubjectFull: Algebraic geometry
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: Number theory
        Type: general
      – SubjectFull: Hypothesis
        Type: general
    Titles:
      – TitleFull: On local representation densities of Hermitian forms and special cycles II.
        Type: main
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            NameFull: Cho, Sungyoon
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          Dates:
            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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              Value: 281
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            – TitleFull: Journal of Number Theory
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