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About Integrable Systems in the Realm of Algebraic Geometry
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.
Detailed Information
| Author: | Pol Vanhaecke |
|---|---|
| Publication Year: | 2001 |
| ISBN: | 9783540423379 |
| Pages: | 236 |
| Language: | English |
| File Size: | 17.994 |
| Format: | |
| Price: | FREE |
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