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Scognamillo

Principal G-bundles and abelian varieties: the Hitchin system

Medium: Buch
ISBN: 978-88-7642-281-2
Verlag: Edizioni della Normale
Erscheinungstermin: 01.10.1998
Lieferfrist: bis zu 10 Tage

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
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