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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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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 .[.]: = .[.., ..., ..].
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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 .[.]: = .[.., ..., ..].
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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
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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 .
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