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Integrable Systems in the Realm of Algebraic Geometry (Lecture Notes in Mathematics) [Paperback]

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Item description for Integrable Systems in the Realm of Algebraic Geometry (Lecture Notes in Mathematics) by Pol Vanhaecke...

This book treats the general theory of Poisson structures and integrable systems on affine varieties in a systematic way. Special attention is drawn to algebraic completely integrable systems. Several integrable systems are constructed and studied in detail and a few applications of integrable systems to algebraic geometry are worked out.
In the second edition some of the concepts in Poisson geometry are clarified by introducting Poisson cohomology; the Mumford systems are constructed from the algebra of pseudo-differential operators, which clarifies their origin; a new explanation of the multi Hamiltonian structure of the Mumford systems is given by using the loop algebra of sl(2); and finally Goedesic flow on SO(4) is added to illustrate the linearizatin algorith and to give another application of integrable systems to algebraic geometry.



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Item Specifications...


Pages   256
Est. Packaging Dimensions:   Length: 9.13" Width: 6.06" Height: 0.71"
Weight:   0.84 lbs.
Binding  Softcover
Release Date   Sep 6, 2001
Publisher   Springer
ISBN  3540423370  
ISBN13  9783540423379  


Availability  81 units.
Availability accurate as of Mar 28, 2017 11:57.
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8Books > Subjects > Science > Mathematics > General
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