Principal G-bundles and abelian varieties: the Hitchin system
Seiten
1998
Scuola Normale Superiore (Verlag)
978-88-7642-281-2 (ISBN)
Scuola Normale Superiore (Verlag)
978-88-7642-281-2 (ISBN)
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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.
Erscheint lt. Verlag | 1.10.1998 |
---|---|
Reihe/Serie | Publications of the Scuola Normale Superiore |
Zusatzinfo | 49 p. |
Verlagsort | Pisa |
Sprache | englisch |
Maße | 170 x 240 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
ISBN-10 | 88-7642-281-1 / 8876422811 |
ISBN-13 | 978-88-7642-281-2 / 9788876422812 |
Zustand | Neuware |
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