Projective varieties of maximal sectional regularity
DC Field | Value | Language |
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dc.contributor.author | Brodmann, Markus | - |
dc.contributor.author | Lee, Wanseok | - |
dc.contributor.author | Park, Euisung | - |
dc.contributor.author | Schenzel, Peter | - |
dc.date.accessioned | 2021-09-03T11:48:10Z | - |
dc.date.available | 2021-09-03T11:48:10Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-01 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/85146 | - |
dc.description.abstract | We study projective varieties X subset of P-r of dimension n >= 2, of codimension c >= 3 and of degree d >= c+3 that are of maximal sectional regularity, i.e. varieties for which the Castelnuovo-Mumford regularity reg(C) of a general linear curve section is equal to d-c+1, the maximal possible value (see [10]). As one of the main results we classify all varieties of maximal sectional regularity. If X is a variety of maximal sectional regularity, then either (a) it is a divisor on a rational normal (n + 1)-fold scroll Y subset of Pn+3 or else (b) there is an n-dimensional linear subspace F subset of P-r such that X boolean AND F subset of F is a hypersurface of degree d-c+1. Moreover, suppose that n = 2 or the characteristic of the ground field is zero. Then in case (b) we obtain a precise description of X as a birational linear projection of a rational normal n-fold scroll. (C) 2016 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.subject | RATIONAL NORMAL SCROLLS | - |
dc.subject | SMOOTH SURFACES | - |
dc.subject | CASTELNUOVO | - |
dc.subject | CURVES | - |
dc.subject | EQUATIONS | - |
dc.subject | SYZYGIES | - |
dc.subject | DIVISORS | - |
dc.title | Projective varieties of maximal sectional regularity | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.1016/j.jpaa.2016.05.028 | - |
dc.identifier.scopusid | 2-s2.0-84989923121 | - |
dc.identifier.wosid | 000384864100007 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.221, no.1, pp.98 - 118 | - |
dc.relation.isPartOf | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 221 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 98 | - |
dc.citation.endPage | 118 | - |
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 | - |
dc.subject.keywordPlus | RATIONAL NORMAL SCROLLS | - |
dc.subject.keywordPlus | SMOOTH SURFACES | - |
dc.subject.keywordPlus | CASTELNUOVO | - |
dc.subject.keywordPlus | CURVES | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | SYZYGIES | - |
dc.subject.keywordPlus | DIVISORS | - |
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