An introduction to invariants and moduli
Author(s)
Bibliographic Information
An introduction to invariants and moduli
(Cambridge studies in advanced mathematics, 81)
Cambridge University Press, 2012, c2003
- : pbk
- Other Title
-
モジュライ理論
Mojurai riron
Available at 2 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
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  France
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  United States of America
Note
"First paperback edition 2012"--T.p. verso
Includes bibliographical references (p. 487-493) and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"