000			01700nam a2200301Ia 4500
003			OSt
005			20240829123613.0
008			240709s9999 xx 000 0 und d
020			_a9783540423379
040			_cIISER-BPR
041			_aENG
082			_a516.35 _bVAN _223rd
100			_aVanhaecke, Pol
222			_aMathematics
245		0	_aIntegrable systems in the realm of algebraic geometry
250			_a2nd ed.
260			_aHeidelberg: _bSpringer-Verlag Berlin, _c2001
300			_ax, 256p. : _bill, pbk. ; _c24cm.
440			_aLectures Notes in Mathematics _vVol. 1638
520			_aThis 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. Includes illustrations, bibliographic references and index.
650			_aGeometry
650			_aAnalytic geometries
650			_aAlgebraic geometry
942			_cBK _2ddc
942			_2ddc
947			_a4451.6095
948			_a0.22
999			_c4094 _d4094