On Syzygies of Projected Algebraic Curves
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Wanseok | - |
dc.contributor.author | Park, Euisung | - |
dc.date.accessioned | 2021-09-06T01:28:26Z | - |
dc.date.available | 2021-09-06T01:28:26Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2013-05-21 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/103211 | - |
dc.description.abstract | Let C< subset of>P-r be a linearly normal projective integral curve of arithmetic genus g1 and degree d=2g+1+p for some p1. It is well known that C is cut out by quadric and satisfies Green-Lazarsfeld's property N-p. Recently it is known that for any q P-r\C such that the linear projection (q): CPr-1 of C from q is an embedding, the projected image C-q: =(q)(C)< subset of>Pr-1 is 3-regular, and hence its homogeneous ideal is generated by quadratic and cubic equations. In this article we study the problem when C-q is still cut out by quadrics. Our main result in this article shows that if the relative location of q with respect to C is general then the homogeneous ideal of C-q is still generated by quadrics and the syzygies among them are generated by linear syzygies for the first a few steps. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | TAYLOR & FRANCIS INC | - |
dc.subject | VARIETIES | - |
dc.subject | NORMALITY | - |
dc.subject | GEOMETRY | - |
dc.title | On Syzygies of Projected Algebraic Curves | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.1080/00927872.2011.653464 | - |
dc.identifier.scopusid | 2-s2.0-84878562417 | - |
dc.identifier.wosid | 000320091300009 | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN ALGEBRA, v.41, no.6, pp.2092 - 2099 | - |
dc.relation.isPartOf | COMMUNICATIONS IN ALGEBRA | - |
dc.citation.title | COMMUNICATIONS IN ALGEBRA | - |
dc.citation.volume | 41 | - |
dc.citation.number | 6 | - |
dc.citation.startPage | 2092 | - |
dc.citation.endPage | 2099 | - |
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 | VARIETIES | - |
dc.subject.keywordPlus | NORMALITY | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordAuthor | Linear projection | - |
dc.subject.keywordAuthor | Minimal free resolution | - |
dc.subject.keywordAuthor | Projective curve | - |
dc.subject.keywordAuthor | Primary 14N15 | - |
dc.subject.keywordAuthor | 13D02 | - |
dc.subject.keywordAuthor | Secondary 51N35 | - |
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