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기하학수리물리연구단
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Hilbert functions of Cox rings of del Pezzo surfaces

DC Field Value Language
dc.contributor.authorPark J.-
dc.contributor.authorJoonyeong Won-
dc.date.available2017-05-19T01:12:07Z-
dc.date.created2017-04-24-
dc.date.issued2017-06-
dc.identifier.issn0021-8693-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/3421-
dc.description.abstractTo study syzygies of the Cox rings of del Pezzo surfaces, we calculate important syzygetic invariants such as the Hilbert functions, the Green–Lazarsfeld indices, the projective dimensions, and the Castelnuovo–Mumford regularities. Using these computations as well as the natural multigrading structures by the Picard groups of del Pezzo surfaces and Weyl group actions on Picard lattices, we determine the Betti diagrams of the Cox rings of del Pezzo surfaces of degree at most four. © 2017 Elsevier Inc-
dc.language영어-
dc.publisherELSEVIER-
dc.titleHilbert functions of Cox rings of del Pezzo surfaces-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000400219200013-
dc.identifier.scopusid2-s2.0-85015957845-
dc.identifier.rimsid59261ko
dc.date.tcdate2018-10-01-
dc.contributor.affiliatedAuthorJoonyeong Won-
dc.identifier.doi10.1016/j.jalgebra.2017.02.028-
dc.identifier.bibliographicCitationJOURNAL OF ALGEBRA, v.480, pp.309 - 331-
dc.relation.isPartOfJOURNAL OF ALGEBRA-
dc.citation.titleJOURNAL OF ALGEBRA-
dc.citation.volume480-
dc.citation.startPage309-
dc.citation.endPage331-
dc.date.scptcdate2018-10-01-
dc.description.scptc0-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.subject.keywordAuthorCox ring-
dc.subject.keywordAuthorDel Pezzo surface-
dc.subject.keywordAuthorHilbert function-
dc.subject.keywordAuthorSyzygy-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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