書誌事項

Arithmetic geometry and number theory

editors, Lin Weng, Iku Nakamura

(Series on number theory and its applications / series editor, Shigeru Kanemitsu, v. 1)

World Scientific, c2006

大学図書館所蔵 件 / 全27件

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注記

Includes bibliographical references

内容説明・目次

内容説明

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions.And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.

目次

  • On Local -Factors (D H Jiang)
  • Deligne Pairings over Moduli Spaces of Punctured Riemann Surfaces (K Obitsu et al.)
  • Vector Bundles on Curves over p (A Werner)
  • Absolute CM-periods -- Complex and p-Adic (H Yoshida)
  • On Special Zeta Values in Positive Characteristic (J Yu)
  • Automorphic Forms, Eisenstein Series and Spectral Decompositions (L Weng)
  • Geometric Arithmetic: A Program (L Weng).

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詳細情報

  • NII書誌ID(NCID)
    BA77550201
  • ISBN
    • 981256814X
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    ix, 400 p.
  • 大きさ
    24 cm
  • 親書誌ID
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