DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kwak, Sijong | ko |
dc.date.accessioned | 2013-03-04T16:04:30Z | - |
dc.date.available | 2013-03-04T16:04:30Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2001-08 | - |
dc.identifier.citation | MATHEMATISCHE ANNALEN, v.320, no.4, pp.649 - 664 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.uri | http://hdl.handle.net/10203/83174 | - |
dc.description.abstract | For a projective variety X of codimension 2 in Pn+2 defined over the complex number field C, it is traditionally said that X has no apparent (k + 1)-ple points if the (k + 1)-secant lines of X do not fill up the ambient projective space P-n+2, equivalently, the locus of (k + 1)-ple points of a generic projection of X to Pn+1 is empty. We show that a smooth threefold in P-5 has no apparent triple points if and only if it is contained in a quadric hypersurface. We also obtain an enumerative formula counting the quadrisecant lines of X passing through a general point of P-5 and give necessary cohomological conditions for smooth threefolds in P-5 without apparent quadruple points. This work is intended to generalize the work of F. Severi [fSe] and A. Aure [Au], where it was shown that a smooth surface in P-4 has no triple points if and only if it is either a quintic elliptic scroll or contained in a hyperquadric. Furthermore we give open questions along these lines. | - |
dc.language | English | - |
dc.publisher | SPRINGER-VERLAG | - |
dc.title | Smooth threefolds in P-5 without apparent triple or quadruple points and a quadruple-point formula | - |
dc.type | Article | - |
dc.identifier.wosid | 000170825100002 | - |
dc.identifier.scopusid | 2-s2.0-0035620608 | - |
dc.type.rims | ART | - |
dc.citation.volume | 320 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 649 | - |
dc.citation.endingpage | 664 | - |
dc.citation.publicationname | MATHEMATISCHE ANNALEN | - |
dc.contributor.localauthor | Kwak, Sijong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SURFACES | - |
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