故障 发表于 2025-3-21 18:19:11

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sacrum 发表于 2025-3-21 21:52:57

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

混杂人 发表于 2025-3-22 00:29:41

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沙漠 发表于 2025-3-22 04:33:07

Polyomorphisms Conjugate to Dilations . variables (.., .., ... , ..) = . ∈ ℂ.. The question, first raised by O.-H. Keller in 1939 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.,

Coronation 发表于 2025-3-22 12:06:00

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MULTI 发表于 2025-3-22 16:51:20

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Mortal 发表于 2025-3-22 18:06:15

Quotients of Algebraic Group Actionsespect is “Geometric Invariant Theory” of Mumford (see ). 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 , , , and ).

Repatriate 发表于 2025-3-23 00:06:27

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.

ARCH 发表于 2025-3-23 05:12:44

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

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