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A Note on Nagata’s Automorphism

Jacques Alev
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Jacques Alev: Université de Reims, UFR Sciences, Mathématiques

A chapter in Automorphisms of Affine Spaces, 1995, pp 215-221 from Springer

Abstract: Abstract The purpose of this note is to bring evidence to the fact that a certain automorphism of affine 3-space defined by Nagata in [6] is not tame. Using the 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.

Keywords: Transformation Group; Product Rule; Main Observation; Topological Method; Apply Algebra (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-8555-2_15

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DOI: 10.1007/978-94-015-8555-2_15

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