On Surfaces of Maximal Sectional Regularity
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Brodmann, Markus | - |
dc.contributor.author | Lee, Wanseok | - |
dc.contributor.author | Park, Euisung | - |
dc.contributor.author | Schenzel, Peter | - |
dc.date.accessioned | 2021-09-03T05:17:51Z | - |
dc.date.available | 2021-09-03T05:17:51Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017-06 | - |
dc.identifier.issn | 1027-5487 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/83205 | - |
dc.description.abstract | We study projective surfaces X subset of P-r ( with r >= 5) of maximal sectional regularity and degree d > r, hence surfaces for which the Castelnuovo-Mumford regularity reg(C) of a general hyperplane section curve C - X boolean AND Pr-1 takes the maximally possible value d-r + 3. We use the classification of varieties of maximal sectional regularity of [5] to see that these surfaces are either particular divisors on a smooth rational 3-fold scroll S (1, 1, 1) subset of P-5, or else admit a plane F = P-2 subset of P-r such that X boolean AND F subset of F is a pure curve of degree d - r + 3. We show that our surfaces are either cones over curves of maximal regularity, or almost non-singular projections of smooth rational surface scrolls. We use this to show that the Castelnuovo-Mumford regularity of such a surface X satisfies the equality reg(X) = d-r + 3 and we compute or estimate various cohomological invariants as well as the Betti numbers of such surfaces. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | MATHEMATICAL SOC REP CHINA | - |
dc.subject | EXTREMAL SECANT LINE | - |
dc.subject | SMOOTH SURFACES | - |
dc.subject | CASTELNUOVO | - |
dc.subject | VARIETIES | - |
dc.subject | EQUATIONS | - |
dc.subject | SYZYGIES | - |
dc.subject | DIVISORS | - |
dc.subject | MODULES | - |
dc.subject | THEOREM | - |
dc.subject | CURVES | - |
dc.title | On Surfaces of Maximal Sectional Regularity | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.11650/tjm/7753 | - |
dc.identifier.scopusid | 2-s2.0-85019756441 | - |
dc.identifier.wosid | 000402297400003 | - |
dc.identifier.bibliographicCitation | TAIWANESE JOURNAL OF MATHEMATICS, v.21, no.3, pp.549 - 567 | - |
dc.relation.isPartOf | TAIWANESE JOURNAL OF MATHEMATICS | - |
dc.citation.title | TAIWANESE JOURNAL OF MATHEMATICS | - |
dc.citation.volume | 21 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 549 | - |
dc.citation.endPage | 567 | - |
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 | EXTREMAL SECANT LINE | - |
dc.subject.keywordPlus | SMOOTH SURFACES | - |
dc.subject.keywordPlus | CASTELNUOVO | - |
dc.subject.keywordPlus | VARIETIES | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | SYZYGIES | - |
dc.subject.keywordPlus | DIVISORS | - |
dc.subject.keywordPlus | MODULES | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | CURVES | - |
dc.subject.keywordAuthor | Castelnuovo-Mumford regularity | - |
dc.subject.keywordAuthor | Variety of maximal sectional regularity | - |
dc.subject.keywordAuthor | Extremal locus | - |
dc.subject.keywordAuthor | Extremal variety | - |
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