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Article: Tame and wild coordinates of K[z][x, y]

TitleTame and wild coordinates of K[z][x, y]
Authors
Keywordsautomorphisms of polynomial algebras
tame automorphisms
wild automorphisms
free generators of polynomial algebras
Issue Date2000
PublisherAmerican Mathematical Society.
Citation
Transactions of the American Mathematical Society, 2000, v. 353 n. 2, p. 519-537 How to Cite?
AbstractLet K be a field of characteristic zero. We characterize coordinates and tame coordinates in K[z][x, y], i.e. the images of x respectively under all automorphisms and under the tame automorphisms of K[z][x; y]. We also construct a new large class of wild automorphisms of K[z][x; y] which maps x to a concrete family of nice looking polynomials. We show that a subclass of this class is stably tame, i.e. becomes tame when we extend its automorphisms to automorphisms of K[z][x, y, t].
Persistent Identifierhttp://hdl.handle.net/10722/48401
ISSN
2015 Impact Factor: 1.196
2015 SCImago Journal Rankings: 2.168
References

 

DC FieldValueLanguage
dc.contributor.authorYu, Jen_HK
dc.contributor.authorDrensky, VSen_HK
dc.date.accessioned2008-05-22T04:11:45Z-
dc.date.available2008-05-22T04:11:45Z-
dc.date.issued2000en_HK
dc.identifier.citationTransactions of the American Mathematical Society, 2000, v. 353 n. 2, p. 519-537en_HK
dc.identifier.issn0002-9947en_HK
dc.identifier.urihttp://hdl.handle.net/10722/48401-
dc.description.abstractLet K be a field of characteristic zero. We characterize coordinates and tame coordinates in K[z][x, y], i.e. the images of x respectively under all automorphisms and under the tame automorphisms of K[z][x; y]. We also construct a new large class of wild automorphisms of K[z][x; y] which maps x to a concrete family of nice looking polynomials. We show that a subclass of this class is stably tame, i.e. becomes tame when we extend its automorphisms to automorphisms of K[z][x, y, t].en_HK
dc.format.extent251738 bytes-
dc.format.extent3333 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Mathematical Society.en_HK
dc.rightsTransactions of the American Mathematical Society. Copyright © American Mathematical Society.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsFirst published in Transactions of the American Mathematical Society, 2000, v. 353 n. 2, p. 519-537, published by the American Mathematical Society,en_HK
dc.subjectautomorphisms of polynomial algebrasen_HK
dc.subjecttame automorphismsen_HK
dc.subjectwild automorphismsen_HK
dc.subjectfree generators of polynomial algebrasen_HK
dc.titleTame and wild coordinates of K[z][x, y]en_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0002-9947&volume=353&issue=2&spage=519&epage=537&date=2000&atitle=Tame+and+wild+coordinates+of+K[z][x,+y]en_HK
dc.identifier.emailYu, J: yujt@hkusua.hku.hken_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1090/S0002-9947-00-02617-9-
dc.identifier.scopuseid_2-s2.0-23044523592-
dc.identifier.hkuros63202-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-23044523592&selection=ref&src=s&origin=recordpage-
dc.identifier.scopusauthoridDrensky, V=6603826254-
dc.identifier.scopusauthoridYu, JT=7405530208-

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