DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwak, Sijong | ko |
dc.date.accessioned | 2013-03-02T18:53:23Z | - |
dc.date.available | 2013-03-02T18:53:23Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2000-07 | - |
dc.identifier.citation | MATHEMATISCHE ZEITSCHRIFT, v.234, no.3, pp.413 - 434 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.uri | http://hdl.handle.net/10203/75011 | - |
dc.description.abstract | For a reduced, irreducible projective variety X of degree d and codimension c in P-N the Castelnuovo-Mumford regularity regX is defined as the least k such that X is k-regular, i.e., H-i(P-N, I-X(k - i)) = 0 for i greater than or equal to 1, where I-X subset of O-PN is the sheaf of ideals of X. There is a long standing conjecture about k-regularity (see [5]): regX less than or equal to d - e + 1. Here we show that regX less than or equal to (d - e + 1) +10 fur any smooth fivefold and regX less than or equal to (d - e + 1) + 20 for any smooth sixfold by extending methods used in [10]. Furthermore, we give a bound for the regularity of a reduced, connected and equidimensional locally Cohen-Macaulay curve or surface in terms of degree d, codimension c and an arithmetic genus rho(a) (see Theorem 4.1). | - |
dc.language | English | - |
dc.publisher | SPRINGER-VERLAG | - |
dc.subject | SMOOTH SURFACES | - |
dc.title | Generic projections, the equations defining projective varieties and Castelnuovo regularity | - |
dc.type | Article | - |
dc.identifier.wosid | 000088452000001 | - |
dc.identifier.scopusid | 2-s2.0-0034378856 | - |
dc.type.rims | ART | - |
dc.citation.volume | 234 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 413 | - |
dc.citation.endingpage | 434 | - |
dc.citation.publicationname | MATHEMATISCHE ZEITSCHRIFT | - |
dc.identifier.doi | 10.1007/PL00004809 | - |
dc.contributor.localauthor | Kwak, Sijong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SMOOTH SURFACES | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.