On the classification of non-normal cubic hypersurfaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Wanseok | - |
dc.contributor.author | Park, Euisung | - |
dc.contributor.author | Schenzel, Peter | - |
dc.date.accessioned | 2021-09-07T09:50:33Z | - |
dc.date.available | 2021-09-07T09:50:33Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2011-08 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/111870 | - |
dc.description.abstract | In this article we study the classification of non-normal cubic hypersurfaces over an algebraically closed field K of arbitrary characteristic. Let X subset of P-K(r), be an irreducible non-normal cubic hypersurface. If r >= 5, then X is necessarily a cone (Remark 2.3). In view of this fact it suffices to classify irreducible non-normal cubic hypersurfaces X subset of P-K(r) for r <= 4. We prove that there are precisely five non-normal cubic equations (resp. six non-normal cubic equations) when char K not equal 2, 3 (resp. when char K is either 2 or 3), up to projective equivalence. Also we describe the normalization of X in detail. (C) 2011 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | On the classification of non-normal cubic hypersurfaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.1016/j.jpaa.2010.12.007 | - |
dc.identifier.scopusid | 2-s2.0-79952486445 | - |
dc.identifier.wosid | 000289386600021 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.215, no.8, pp.2034 - 2042 | - |
dc.relation.isPartOf | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 215 | - |
dc.citation.number | 8 | - |
dc.citation.startPage | 2034 | - |
dc.citation.endPage | 2042 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
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