Algebraic Integrability, Painlevé Geometry and Lie Algebras by Mark Adler,Pierre Moerbeke,Pol Vanhaecke

By Mark Adler,Pierre Moerbeke,Pol Vanhaecke

This Ergebnisse quantity is aimed toward a large readership of mathematicians and physicists, graduate scholars and execs. the most thrust of the ebook is to teach how algebraic geometry, Lie conception and
Painlevé research can be utilized to explicitly resolve integrable differential equations and build the algebraic tori on which they linearize; while, it really is, for the scholar, a taking part in flooring to making use of algebraic
geometry and Lie conception. The ebook is intended to be quite self-contained and provides a number of examples. The latter seem in the course of the textual content to demonstrate the tips, and make up the middle of the final a part of the ebook. The
first a part of the publication includes the elemental instruments from Lie teams, algebraic and differential geometry to appreciate the most subject.

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