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Titlebook: Automorphisms of Affine Spaces; Arno Essen Book 1995 Springer Science+Business Media B.V. 1995 Dimension.Grad.algebraic group.algorithms.d

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发表于 2025-3-21 18:19:11 | 显示全部楼层 |阅读模式
期刊全称Automorphisms of Affine Spaces
影响因子2023Arno Essen
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图书封面Titlebook: Automorphisms of Affine Spaces;  Arno Essen Book 1995 Springer Science+Business Media B.V. 1995 Dimension.Grad.algebraic group.algorithms.d
影响因子.Automorphisms of Affine Spaces. describes the latestresults concerning several conjectures related to polynomialautomorphisms: the Jacobian, real Jacobian, Markus-Yamabe,Linearization and tame generators conjectures. Group actions anddynamical systems play a dominant role. Several contributions are ofan expository nature, containing the latest results obtained by theleaders in the field. The book also contains a concise introduction tothe subject of invertible polynomial maps which formed the basis ofseven lectures given by the editor prior to the main conference. ..Audience.: A good introduction for graduate students and researchmathematicians interested in invertible polynomial maps. .
Pindex Book 1995
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发表于 2025-3-21 21:52:57 | 显示全部楼层
The Jacobian Conjecture: Some Steps towards Solutionneous polynomial mapping. We present recent contributions to the problem, among others we show why the answer is positive for maps ., when . has only non-negative coefficients. We also point out the Global Stability Problem for polynomial transformations of ℝ., when n > 2 (note that for .. mappings
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Polyomorphisms Conjugate to Dilations . variables (.., .., ... , ..) = . ∈ ℂ.. The question, first raised by O.-H. Keller in 1939 [10] for polynomials over the integers but now also raised for complex polynomials and, as such, known as . (.), asks whether a . map . with nonzero constant Jacobian determinant det .(.) need be a .: I.e.,
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Quotients of Algebraic Group Actionsespect is “Geometric Invariant Theory” of Mumford (see [15]). The major part of the book only concerns reductive groups. More recently some work has been done to do similar things for general algebraic groups (see [8], [5], [6], [7] and [4]).
发表于 2025-3-23 00:06:27 | 显示全部楼层
A Note on Nagata’s Automorphisme Bruhat decomposition at the level of the jacobian of the transformations involved and the product rules of double classes, we show that certain types of factorizations are impossible for this automorphism.
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Golden Years of Australian Radio Astronomymorphic to the group .[.] of automorphisms . of the polynomial ring ℂ[.] by means of the correspondence .(.) = . where .(..) = ..(.). Polynomial maps .(.) satisfying det .(.) = . ≠ 0 are called .. We can and do assume that .(0) = 0 and .(0) = .. Five main problems arise:
发表于 2025-3-23 09:19:42 | 显示全部楼层
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