An introduction to invariants and moduli

書誌事項

An introduction to invariants and moduli

Shigeru Mukai ; translated by W.M. Oxbury

(Cambridge studies in advanced mathematics, 81)

Cambridge University Press, 2012, c2003

  • : pbk

タイトル別名

モジュライ理論

Mojurai riron

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注記

"First paperback edition 2012"--T.p. verso

Includes bibliographical references (p. 487-493) and index

内容説明・目次

内容説明

Incorporated in this 2003 volume are the first two books in Mukai's series on moduli theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial ingredient in the proof of Fermat's last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation of the classical foundations of invarant theory that, in addition to geometers, would be useful to those studying representation theory. This translation gives an accurate account of Mukai's influential Japanese texts.

目次

  • 1. Invariants and moduli
  • 2. Rings and polynomials
  • 3. Algebraic varieties
  • 4. Algebraic groups and rings of invariants
  • 5. Construction of quotient spaces
  • 6. Global construction of quotient varieties
  • 7. Grassmannians and vector bundles
  • 8. Curves and their Jacobians
  • 9. Stable vector bundles on curves
  • 10. Moduli functors
  • 11. Intersection numbers and the Verlinde formula
  • 12. The numerical criterion and its applications.

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詳細情報

  • NII書誌ID(NCID)
    BB22671259
  • ISBN
    • 9781107406360
  • LCCN
    2002023422
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    jpn
  • 出版地
    Cambridge
  • ページ数/冊数
    xx, 503 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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