Manual Integrable Systems in the Realm of Algebraic Geometry

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Abelian varieties Complex tori and Abelian varieties Line bundles on Abelian varieties Abelian surfaces Jacobi varieties The algebraic Jacobian Abel's Theorem and Jacobi inversion Jacobi and Kummer surfaces Abelian surfaces of type 1, The generic case The non-generic case Algebraic completely integrable Hamiltonian systems The linearization of two-dkmensional a. Lax equations The Mumford systems The algebra of pseudo-differential operators The matrix associated to two commuting operators The inverse construction The KP vector fields Multi-Hamiltonian structure and symmetries The loop algebra 9 q If you do not have to customize your Internet security settings, click Default Level.

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Integrable Systems in the Realm of Algebraic Geometry

The KP vector fields Multi-Hamiltonian structure and symmetries The loop algebra 9 q Reducing the R-brackets and the vector field. Select Parent Grandparent Teacher Kid at heart.

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Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams - INSPIRE-HEP

Table of Contents I. Introduction: II.

Integrable Hamiltonian systems on affine Poisson varieties: 1. Affine Poisson varieties and their morphisms. Integrable Hamiltonian systems and their morphisms.

Integrable Systems in the Realm of Algebraic Geometry

Integrable Hamiltonian systems on other spaces. Integrable Hamiltonian systems and symmetric products of curves: 1.


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The systems and their integrability. The geometry of the level manifolds. Interludium: the geometry of Abelian varieties 1. Divisors and line bundles.