残忍 发表于 2025-3-23 11:11:27

Seven Lectures on Polynomial Automorphismsrs and ℂ:= the complex numbers. Furthermore . will denote an arbitrary field and . = (.., ..., ..): .. → .. a . i.e. a map of the form . where each .. belongs to the polynomial ring .[.]: = .[.., ..., ..].

Mumble 发表于 2025-3-23 15:17:27

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Estrogen 发表于 2025-3-23 21:44:32

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CLAY 发表于 2025-3-23 23:29:43

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和音 发表于 2025-3-24 04:58:08

https://doi.org/10.1007/978-1-349-08810-2rs and ℂ:= the complex numbers. Furthermore . will denote an arbitrary field and . = (.., ..., ..): .. → .. a . i.e. a map of the form . where each .. belongs to the polynomial ring .[.]: = .[.., ..., ..].

Kidnap 发表于 2025-3-24 06:40:02

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Ventilator 发表于 2025-3-24 13:41:14

Historical & Cultural Astronomy i.e., which are not conjugate to linear automorphisms. The second author gave the first examples of non-linearizable actions of positive dimensional groups, and . and . did the same for finite groups..These examples were all obtained from non-trivial .-vector bundles on representation spaces using

JOT 发表于 2025-3-24 18:43:34

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纤细 发表于 2025-3-24 21:20:51

https://doi.org/10.1007/978-3-658-20915-5racteristic. This opinion is based on the well known counter-example . = . − .. of a polynomial in one indeterminate . over the prime field F. of cardinality . > 0, whose derivate is 1 and who does not define an automorphism of the F.-algebra F.[.]. But we could remark that the geometric degree of .

反复无常 发表于 2025-3-25 00:15:12

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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