Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/10638
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rahavandrainy, Olivier | - |
dc.date.accessioned | 2014-12-23T14:36:50Z | - |
dc.date.available | 2014-12-23T14:36:50Z | - |
dc.date.issued | 2014-12-23 | - |
dc.identifier.issn | 0049-4704 | - |
dc.identifier.uri | http://hdl.handle.net/10077/10638 | - |
dc.description | Olivier Rahavandrainy, "Resolution of the ideal sheaf of a generic union of conics in P3:I", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.203-229 | it_IT |
dc.description.abstract | We work over an algebraically closed field K of characteristic zero. Let Y be the generic union of $r \geq 2$ skew conics in $P^3_K$, $I_Y$ its ideal sheaf and v the least integer such that $h^0(I_Y(v)) > 0$. We first establish a conjecture (concerning a maximal rank problem) which allows to compute, by a standard method, the minimal free resolution of $I_Y$ if $r\geq 5$ and $\displaystyle{\frac{v(v+2)(v+3)}{12v+2}<r < \frac{(v+1)(v+2)(v+3)}{12v+6}}$. At the second time, we give the first part of the proof of that conjecture. | it_IT |
dc.language.iso | en | it_IT |
dc.relation.ispartofseries | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics | it_IT |
dc.relation.ispartofseries | 46 (2014) | it_IT |
dc.subject | Projective space | it_IT |
dc.subject | scheme | it_IT |
dc.subject | sheaf | it_IT |
dc.subject | minimal free resolution | it_IT |
dc.title | Resolution of the ideal sheaf of a generic union of conics in P3:I | it_IT |
dc.type | Article | - |
dc.subject.msc2010 | 14N05 | - |
dc.subject.msc2010 | 14F05 | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.46 (2014) |
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File | Description | Size | Format | |
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RIMUT_46_Rahavandrainy.pdf | 458 kB | Adobe PDF | ![]() View/Open |
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