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140122 ||| eng |
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|a 9789401585552
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|a van den Essen, Arno
|e [editor]
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| 245 |
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|a Automorphisms of Affine Spaces
|h Elektronische Ressource
|c edited by Arno van den Essen
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| 250 |
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|a 1st ed. 1995
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 1995, 1995
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| 300 |
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|a XX, 244 p
|b online resource
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|a 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 Nagata’s Automorphism -- IV Reactions on the conference -- On a Question of Yosef Stein -- A Counterexample to a Conjecture of Meisters -- Open Problems -- Some Conference Impressions
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| 653 |
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|a Commutative algebra
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| 653 |
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|a Algebraic Geometry
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| 653 |
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|a Commutative Rings and Algebras
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| 653 |
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|a Algorithms
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| 653 |
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|a Commutative rings
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| 653 |
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|a Algebraic geometry
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| 653 |
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|a Differential Equations
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| 653 |
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|a Differential equations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 028 |
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|a 10.1007/978-94-015-8555-2
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| 856 |
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|u https://doi.org/10.1007/978-94-015-8555-2?nosfx=y
|x Verlag
|3 Volltext
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|a 516.35
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| 520 |
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|a 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
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