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Polynomial Automorphisms and the Jacobian Conjecture : New Results from the Beginning of the 21st Century / by Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola
(Frontiers in Mathematics. ISSN:16608054)
版 | 1st ed. 2021. |
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出版者 | (Cham : Springer International Publishing : Imprint: Birkhäuser) |
出版年 | 2021 |
本文言語 | 英語 |
大きさ | XII, 189 p. 2 illus : online resource |
著者標目 | *van den Essen, Arno author Kuroda, Shigeru author Crachiola, Anthony J author SpringerLink (Online service) |
件 名 | LCSH:Algebraic geometry LCSH:Algebra LCSH:Mathematics FREE:Algebraic Geometry FREE:Algebra FREE:Mathematics |
一般注記 | This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the Jacobian Conjecture, the theory of Mathieu-Zhao spaces and counterexamples to the Cancellation problem in positive characteristic. These and many more results are discussed in detail in this work. The book is aimed at graduate students and researchers in the field of Affine Algebraic Geometry. Exercises are included at the end of each section HTTP:URL=https://doi.org/10.1007/978-3-030-60535-3 |
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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 | 9783030605353 |
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EB00224284 |