Principal G-bundles and abelian varieties: the Hitchin system

Renata Scognamillo (Autor)

Buch | Softcover

49 Seiten

1998
Scuola Normale Superiore (Verlag)
9788876422812 (ISBN)

Artikel merken

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-13	9788876422812 / 9788876422812
Zustand	Neuware