DC Field | Value | Language |
---|---|---|
dc.contributor.author | Niu, Wenbo | ko |
dc.contributor.author | Park, Jinhyung | ko |
dc.date.accessioned | 2022-05-30T06:00:38Z | - |
dc.date.available | 2022-05-30T06:00:38Z | - |
dc.date.created | 2022-05-30 | - |
dc.date.created | 2022-05-30 | - |
dc.date.created | 2022-05-30 | - |
dc.date.issued | 2022-06 | - |
dc.identifier.citation | ADVANCES IN MATHEMATICS, v.401 | - |
dc.identifier.issn | 0001-8708 | - |
dc.identifier.uri | http://hdl.handle.net/10203/296706 | - |
dc.description.abstract | The purpose of this paper is to establish a Castelnuovo-Mumford regularity bound for threefolds with mild singularities. Let X be a non-degenerate normal projective threefold in P-r of degree d and codimension e. We prove that if X has rational singularities, then reg(X) <= d - e + 2. Our bound is very close to a sharp bound conjectured by Eisenbud-Goto. When e = 2 and X has Cohen-Macaulay Du Bois singularities, we obtain the conjectured bound reg(X) <= d - 1, and we also classify the extremal cases. To achieve these results, we bound the regularity of fibers of a generic projection of X by using Loewy length, and also bound the dimension of the varieties swept out by secant lines through the singular locus of X. (C) 2022 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | A Castelnuovo-Mumford regularity bound for threefolds with rational singularities | - |
dc.type | Article | - |
dc.identifier.wosid | 000793102900005 | - |
dc.identifier.scopusid | 2-s2.0-85126346357 | - |
dc.type.rims | ART | - |
dc.citation.volume | 401 | - |
dc.citation.publicationname | ADVANCES IN MATHEMATICS | - |
dc.identifier.doi | 10.1016/j.aim.2022.108320 | - |
dc.contributor.localauthor | Park, Jinhyung | - |
dc.contributor.nonIdAuthor | Niu, Wenbo | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Castelnuovo-Mumford regularity | - |
dc.subject.keywordAuthor | Projection | - |
dc.subject.keywordAuthor | Threefold | - |
dc.subject.keywordAuthor | Rational singularity | - |
dc.subject.keywordAuthor | Loewy length | - |
dc.subject.keywordAuthor | Secant variety | - |
dc.subject.keywordPlus | PROJECTIVE VARIETIES | - |
dc.subject.keywordPlus | GENERIC PROJECTIONS | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | GEOMETRY | - |
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