03818nam 22007455 450 99646637310331620210913160544.03-540-44576-510.1007/3-540-44576-5(CKB)1000000000233209(SSID)ssj0000324045(PQKBManifestationID)12133614(PQKBTitleCode)TC0000324045(PQKBWorkID)10305168(PQKB)10126227(DE-He213)978-3-540-44576-0(MiAaPQ)EBC3071851(PPN)155223097(EXLCZ)99100000000023320920121227d2001 u| 0engurnn#008mamaatxtccrIntegrable Systems in the Realm of Algebraic Geometry[electronic resource] /by Pol Vanhaecke2nd ed. 2001.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2001.1 online resource (XII, 264 p.)Lecture Notes in Mathematics,0075-8434 ;1638Bibliographic Level Mode of Issuance: Monograph3-540-42337-0 Includes bibliographical references and index.Introduction -- Integrable Hamiltonian systems on affine Poisson varietie: Affine Poisson varieties and their morphisms; Integrable Hamiltonian systems and their morphisms; Integrable Hamiltonian systems on other spaces -- Integrable Hamiltonian systems and symmetric products of curves: The systems and their integrability; The geometry of the level manifolds -- Interludium: the geometry of Abelian varieties: Divisors and line bundles; Abelian varieties; Jacobi varieties; Abelian surfaces of type (1,4) -- Algebraic completely integrable Hamiltonian systems: A.c.i. systems; Painlev analysis for a.c.i. systems; The linearization of two-dimensional a.c.i. systems; Lax equations -- The Mumford systems: Genesis; Multi-Hamiltonian structure and symmetries; The odd and the even Mumford systems; The general case -- Two-dimensional a.c.i. systems and applications: The genus two Mumford systems; Application: generalized Kummersurfaces; The Garnier potential; An integrable geodesic flow on SO(4);...Lecture Notes in Mathematics,0075-8434 ;1638DynamicsErgodic theoryGlobal analysis (Mathematics)Manifolds (Mathematics)Algebraic geometryMathematical physicsDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Dynamics.Ergodic theory.Global analysis (Mathematics).Manifolds (Mathematics).Algebraic geometry.Mathematical physics.Dynamical Systems and Ergodic Theory.Global Analysis and Analysis on Manifolds.Algebraic Geometry.Theoretical, Mathematical and Computational Physics.516.35314K20mscVanhaecke Polauthttp://id.loc.gov/vocabulary/relators/aut61070MiAaPQMiAaPQMiAaPQBOOK996466373103316Integrable systems in the realm of algebraic geometry258921UNISA