Buch, Englisch, 49 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 145 g
Buch, Englisch, 49 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 145 g
Reihe: Publications of the Scuola Normale Superiore
ISBN: 978-88-7642-281-2
Verlag: Edizioni della Normale
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.
Zielgruppe
Research
