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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Principal G-Bundles and Abelian Varieties: The Hitchin System

Principal G-Bundles and Abelian Varieties: The Hitchin System

Scognamillo, Renata

Paperback

Series: Publications of the Scuola Normale Superiore

Geometry

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ISBN10: 8876422811
ISBN13: 9788876422812
Publisher: Springer Nature
Published: Oct 1 1998
Pages: 49
Weight: 0.32
Height: 0.21 Width: 6.66 Depth: 9.46
Language: English
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.

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