Regularity and Multisecant Lines of Finite Schemes
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Wanseok | - |
dc.contributor.author | Park, Euisung | - |
dc.contributor.author | Woo, Youngho | - |
dc.date.accessioned | 2021-09-01T18:07:34Z | - |
dc.date.available | 2021-09-01T18:07:34Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2019-03 | - |
dc.identifier.issn | 1073-7928 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/67139 | - |
dc.description.abstract | For a nondegenerate finite subscheme Gamma in P-c, let reg(Gamma) and l (Gamma) be, respectively, the regularity of Gamma and the largest integer l such that there exists an l-secant line to Gamma. It is always true that reg(Gamma) >= l (Gamma). In this article, we show that if reg(Gamma) >= d-c+5/2 then reg(Gamma) is equal to l (Gamma). In addition, we describe the minimal free resolution of the homogeneous ideal of Gamma for the case reg(Gamma) >= d-c+5/2. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | OXFORD UNIV PRESS | - |
dc.subject | CASTELNUOVO | - |
dc.subject | VARIETIES | - |
dc.subject | CURVES | - |
dc.subject | THEOREM | - |
dc.subject | SPACE | - |
dc.title | Regularity and Multisecant Lines of Finite Schemes | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.1093/imrn/rnx183 | - |
dc.identifier.scopusid | 2-s2.0-85068617349 | - |
dc.identifier.wosid | 000472802900005 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v.2019, no.6, pp.1725 - 1743 | - |
dc.relation.isPartOf | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.title | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | - |
dc.citation.volume | 2019 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 1725 | - |
dc.citation.endPage | 1743 | - |
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 | - |
dc.subject.keywordPlus | CASTELNUOVO | - |
dc.subject.keywordPlus | VARIETIES | - |
dc.subject.keywordPlus | CURVES | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | SPACE | - |
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