ON MULTISECANT PLANES OF LOCALLY NON-COHEN-MACAULAY SURFACES
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Wanseok | - |
dc.contributor.author | Park, Euisung | - |
dc.date.accessioned | 2021-09-03T04:15:31Z | - |
dc.date.available | 2021-09-03T04:15:31Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-07 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/82909 | - |
dc.description.abstract | For a nondegenerate projective irreducible variety X subset of P-r, it is a natural problem to find an upper bound for the value of l(beta)(X) = max{length(X boolean AND L) | L = P-beta subset of P-r, dim (X boolean AND L) = 0} for each 1 <= beta <= e. When X is locally Cohen-Macaulay, A. Noma in [10] proves that l(beta) (X) is at most d - e + beta where d and e are respectively the degree and the codimension of X. In this paper, we construct some surfaces S subset of P-5 of degree d is an element of {7,..., 12} which satisfies the inequality l(2)(S) >= d - 3 + [d/2]. This shows that Noma's bound is no more valid for locally non- Cohen-Macaulay varieties. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.subject | PROJECTIVE VARIETIES | - |
dc.subject | SMOOTH SURFACES | - |
dc.subject | CASTELNUOVO | - |
dc.subject | REGULARITY | - |
dc.subject | SPACE | - |
dc.title | ON MULTISECANT PLANES OF LOCALLY NON-COHEN-MACAULAY SURFACES | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.4134/BKMS.b160564 | - |
dc.identifier.scopusid | 2-s2.0-85026757687 | - |
dc.identifier.wosid | 000408749400016 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.4, pp.1323 - 1330 | - |
dc.relation.isPartOf | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 54 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 1323 | - |
dc.citation.endPage | 1330 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002246408 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | PROJECTIVE VARIETIES | - |
dc.subject.keywordPlus | SMOOTH SURFACES | - |
dc.subject.keywordPlus | CASTELNUOVO | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | SPACE | - |
dc.subject.keywordAuthor | multisecant space | - |
dc.subject.keywordAuthor | locally Cohen-Macaulayness | - |
dc.subject.keywordAuthor | rational surface | - |
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