ENGLISH

Integrable Systems in the Realm of Algebraic Geometry

By Pol Vanhaecke

Book information

Publisher
Springer
Year
2001
ISBN
9783540423379, 3540423370
LCC
QA3 .L28 no. 1638,QA564 .L28 no. 1638
Open Library ID
OL3952762M
Language
english
Format
RAR
Filesize
14 MB (14376972 bytes)
Series
Lecture Notes in Mathematics
Edition
2nd
Pages
256\0
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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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