dc.contributor.author | Kleppe, Jan Oddvar | |
dc.date.accessioned | 2016-10-19T14:45:54Z | |
dc.date.accessioned | 2017-03-30T13:56:21Z | |
dc.date.available | 2016-10-19T14:45:54Z | |
dc.date.available | 2017-03-30T13:56:21Z | |
dc.date.issued | 2016-10-14 | |
dc.identifier.citation | Rendiconti del circolo matematico di Palermo 2016 | language |
dc.identifier.issn | 1973-4409 | |
dc.identifier.uri | https://hdl.handle.net/10642/4611 | |
dc.description.abstract | We continue the study of maximal families W of the Hilbert
scheme, H(d,g)_{sc}, of smooth connected space curves whose general curve C lies on a smooth degree-s surface S containing a line. For s > 3, we extend the two ranges where W is a unique irreducible (resp. generically smooth) component of H(d,g)_{sc}. In another range, close to the boarder of the nef cone, we describe for s=4 and 5 components W that are non-reduced, leaving open the non-reducedness of only 3 (resp. 2) families for s > 5
(resp. s=5), thus making progress to recent results of Kleppe and Ottem in [28]. For s=3 we slightly extend previous results on a conjecture of non-reduced
components, and in addition we show its existence in a subrange of the conjectured range. | language |
dc.language.iso | en | language |
dc.publisher | Springer Verlag | language |
dc.relation.uri | http://www.iu.hio.no/~jank/papers/kle1603FinWeb.pdf | |
dc.rights | The final publication is available at Springer via http://dx.doi.org/10.1007/s12215-016-0266-6 | language |
dc.subject | Space curves | language |
dc.subject | Quartic surfaces | language |
dc.subject | Cubic surfaces | language |
dc.subject | Hilbert scheme | language |
dc.subject | Hilbert-flag scheme | language |
dc.subject | Relative Picard scheme | language |
dc.title | The Hilbert scheme of space curves sitting on a smooth surface containing a line | language |
dc.type | Peer reviewed | language |
dc.type | Journal article | |
dc.date.updated | 2016-10-19T14:45:54Z | |
dc.description.version | acceptedVersion | language |
dc.identifier.doi | http://doi.org/10.1007/s12215-016-0266-6 | |
dc.identifier.cristin | 1392581 | |
dc.subject.nsi | VDP::Matematikk og naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414 | |
dc.subject.nsi | VDP::Mathematics and natural scienses: 400::Mathematics: 410::Algebra/algebraic analysis: 414 | |