Automorphisms of Affine Spaces by Arno van den Essen (English) Paperback Book

Description: Automorphisms of Affine Spaces by Arno van den Essen Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps. Notes Springer Book Archives Table of Contents I Polynomial Maps in Dimension n.- Seven Lectures on Polynomial Automorphisms.- The Jacobian Conjecture: Some Steps towards Solution.- Finite Automorphisms of Affine N-Space.- Polyomorphisms Conjugate to Dilations.- On Separable Algebras over a U.F.D. and the Jacobian Conjecture in Any Characteristic.- Global Injectivity of Polynomial Maps Via Vector Fields.- II Two-dimensional Results.- On the Markus-Yamabe Conjecture.- Derivations Generated by Polynomials, Their Images and Complements of the Images.- Normal Forms and the Jacobian Conjecture.- Radial Similarity of Newton Polygons.- An Algorithm that Determines whether a Polynomial Map is Bijective.- III Group Actions.- Algebraic Aspects of Additive Group Actions on Complex Affine Space.- Quotients of Algebraic Group Actions.- One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group.- A Note on Nagatas Automorphism.- IV Reactions on the conference.- On a Question of Yosef Stein.- A Counterexample to a Conjecture of Meisters.- Open Problems.- Some Conference Impressions. Promotional Springer Book Archives Long Description Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps. Details ISBN904814566X Author Arno van den Essen Publisher Springer Year 2010 ISBN-10 904814566X ISBN-13 9789048145669 Format Paperback Publication Date 2010-12-01 Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands DEWEY 516.4 Edition 1st Short Title AUTOMORPHISMS OF AFFINE SPACES Language English Media Book Pages 244 Illustrations XX, 244 p. Edition Description Softcover reprint of hardcover 1st ed. 1995 Alternative 9780792335238 Edited by Arno van den Essen Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96230324;

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