Publications of the Scuola Normale Superiore

Principal G-bundles and abelian varieties: the Hitchin system

Authors: Scognamillo, Renata

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About this book

During the past 20 years spectral curves have proved to be a successful geometrical tool for studying a large number of Hamiltonian systems. In 1987 Hitchin applied the theory of spectral curves, considering the moduli space of stable principal G-bundles over a compact Riemann surface C and used spectral curves to describe the cotangent bundle T*M as an “algebraically completely integrable Hamiltonian system”, defining an analytic map H:T*M->K, where K is a suitable vector space. In this work we provide an explicit description of the generic fibres of H in term of both generalized Prym varieties and Prym-Tjurin varieties in the Jacobian of suitable spectral curves.

Buy this book

Softcover $14.95
price for USA
  • ISBN 978-88-7642-281-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
Principal G-bundles and abelian varieties: the Hitchin system
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1998
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-281-2
Edition Number
1
Number of Pages
49
Topics