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.
Produkteigenschaften
- Artikelnummer: 9788876422812
- Medium: Buch
- ISBN: 978-88-7642-281-2
- Verlag: Edizioni della Normale
- Erscheinungstermin: 01.10.1998
- Sprache(n): Englisch
- Auflage: 1. Auflage 1998
- Serie: Publications of the Scuola Normale Superiore
- Produktform: Kartoniert
- Gewicht: 145 g
- Seiten: 49
- Format (B x H x T): 170 x 240 x 5 mm
- Ausgabetyp: Kein, Unbekannt