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Automorphisms of Affine Spaces / edited by Arno van den Essen
版 | 1st ed. 1995. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 1995 |
本文言語 | 英語 |
大きさ | XX, 244 p : online resource |
著者標目 | van den Essen, Arno editor SpringerLink (Online service) |
件 名 | LCSH:Algebraic geometry LCSH:Commutative algebra LCSH:Commutative rings LCSH:Differential equations LCSH:Algorithms FREE:Algebraic Geometry FREE:Commutative Rings and Algebras FREE:Differential Equations FREE:Algorithms |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/978-94-015-8555-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789401585552 |
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EB00236500 |
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