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Article: Non-extendable isomorphisms between affine varieties
Title | Non-extendable isomorphisms between affine varieties |
---|---|
Authors | |
Issue Date | 2002 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jpaa |
Citation | Journal Of Pure And Applied Algebra, 2002, v. 172 n. 2-3, p. 285-291 How to Cite? |
Abstract | In this paper, we report several large classes of affine varieties (over an arbitrary field K of characteristic 0) with the following property: each variety in these classes has an isomorphic copy such that the corresponding isomorphism cannot be extended to an automorphism of the ambient affine space Kn. This implies, in particular, that each of these varieties has at least two inequivalent embeddings in Kn. The following application of our results seems interesting: we show that lines in K2 are distinguished among irreducible algebraic retracts by the property of having a unique embedding in K2. © 2001 Elsevier Science B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/75446 |
ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.897 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Shpilrain, V | en_HK |
dc.contributor.author | Yu, JT | en_HK |
dc.date.accessioned | 2010-09-06T07:11:11Z | - |
dc.date.available | 2010-09-06T07:11:11Z | - |
dc.date.issued | 2002 | en_HK |
dc.identifier.citation | Journal Of Pure And Applied Algebra, 2002, v. 172 n. 2-3, p. 285-291 | en_HK |
dc.identifier.issn | 0022-4049 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/75446 | - |
dc.description.abstract | In this paper, we report several large classes of affine varieties (over an arbitrary field K of characteristic 0) with the following property: each variety in these classes has an isomorphic copy such that the corresponding isomorphism cannot be extended to an automorphism of the ambient affine space Kn. This implies, in particular, that each of these varieties has at least two inequivalent embeddings in Kn. The following application of our results seems interesting: we show that lines in K2 are distinguished among irreducible algebraic retracts by the property of having a unique embedding in K2. © 2001 Elsevier Science B.V. All rights reserved. | en_HK |
dc.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jpaa | en_HK |
dc.relation.ispartof | Journal of Pure and Applied Algebra | en_HK |
dc.rights | Journal of Pure and Applied Algebra. Copyright © Elsevier BV. | en_HK |
dc.title | Non-extendable isomorphisms between affine varieties | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-4049&volume=172 no2-3&spage=285&epage=291&date=2002&atitle=Non-extendable+isomorphisms+between+affine+varieties | en_HK |
dc.identifier.email | Yu, JT:yujt@hku.hk | en_HK |
dc.identifier.authority | Yu, JT=rp00834 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/S0022-4049(01)00166-9 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0037167091 | en_HK |
dc.identifier.hkuros | 75658 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0037167091&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 172 | en_HK |
dc.identifier.issue | 2-3 | en_HK |
dc.identifier.spage | 285 | en_HK |
dc.identifier.epage | 291 | en_HK |
dc.identifier.isi | WOS:000176265000012 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Shpilrain, V=6603904879 | en_HK |
dc.identifier.scopusauthorid | Yu, JT=7405530208 | en_HK |
dc.identifier.issnl | 0022-4049 | - |