On higher syzygies of ruled surfaces III
DC Field | Value | Language |
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dc.contributor.author | Choi, Youngook | - |
dc.contributor.author | Park, Euisung | - |
dc.date.accessioned | 2021-09-04T11:56:23Z | - |
dc.date.available | 2021-09-04T11:56:23Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-10 | - |
dc.identifier.issn | 0022-4049 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/92290 | - |
dc.description.abstract | In this paper, we study the minimal free resolution of homogeneous coordinate rings of a ruled surface S over a curve of genus g with the numerical invariant e < 0 and a minimal section C-0. Let L is an element of PicX be a line bundle in the numerical class of aC(0)+ b f such that a >= 1 and 2b ae = 4g 1 + k for some k >= max(2, e). We prove that the Green Lazarsfeld index index(S, L) of (S, L), i.e. the maximum p such that L satisfies condition N2,p, satisfies the inequalities k/2 - g <= k/2 - ae+3/2 + max (0, [2g-3+ae-k/4])) Also if S has an effective divisor D equivalent to 2C(0) + ef, then we obtain another upper bound of index(S, L), i.e., index(S, L) < k max(0, [2g-4-k/2. This gives a better bound in case b is small compared to a. Finally, for each e is an element of {g,, 1} we construct a ruled surface S with the numerical invariant e and a minimal section Co which has an effective divisor D equivalent to a-- 2C(0) + ef. (C) 2015 Elsevier B.V. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ELSEVIER | - |
dc.title | On higher syzygies of ruled surfaces III | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.1016/j.jpaa.2015.02.037 | - |
dc.identifier.scopusid | 2-s2.0-84929518650 | - |
dc.identifier.wosid | 000356201600020 | - |
dc.identifier.bibliographicCitation | JOURNAL OF PURE AND APPLIED ALGEBRA, v.219, no.10, pp.4653 - 4666 | - |
dc.relation.isPartOf | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.title | JOURNAL OF PURE AND APPLIED ALGEBRA | - |
dc.citation.volume | 219 | - |
dc.citation.number | 10 | - |
dc.citation.startPage | 4653 | - |
dc.citation.endPage | 4666 | - |
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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