Analytic Theory of Abelian Varieties

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Title: Analytic Theory of Abelian Varieties
Description: The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.
Authors: H. P. F. Swinnerton-Dyer
Resource Type: eBook.
Subjects: Functions, Meromorphic, Riemann surfaces, Abelian varieties
Categories: MATHEMATICS / Geometry / Algebraic
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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DbLabel: eBook Collection (EBSCOhost)
An: 569314
RelevancyScore: 959
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 959.155151367188
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Analytic Theory of Abelian Varieties
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however.
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  Data: <searchLink fieldCode="AR" term="%22H%2E+P%2E+F%2E+Swinnerton-Dyer%22">H. P. F. Swinnerton-Dyer</searchLink>
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  Group: TypPub
  Data: eBook.
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  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Functions%2C+Meromorphic%22">Functions, Meromorphic</searchLink><br /><searchLink fieldCode="DE" term="%22Riemann+surfaces%22">Riemann surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Abelian+varieties%22">Abelian varieties</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Algebraic%22">MATHEMATICS / Geometry / Algebraic</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.353
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Functions, Meromorphic
        Type: general
      – SubjectFull: Riemann surfaces
        Type: general
      – SubjectFull: Abelian varieties
        Type: general
    Titles:
      – TitleFull: Analytic Theory of Abelian Varieties
        Type: main
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      – PersonEntity:
          Name:
            NameFull: H. P. F. Swinnerton-Dyer
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          Name:
            NameFull: H. P. F. Swinnerton-Dyer
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 1974
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521205269
            – Type: isbn-electronic
              Value: 9781107087033
          Numbering:
            – Type: volume
              Value: 00014
          Titles:
            – TitleFull: Analytic Theory of Abelian Varieties
              Type: main
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