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Article: Minimal Generators for the Rees Algebra of Rational Space Curves of Type (1,1,d-2)
| Title | Minimal Generators for the Rees Algebra of Rational Space Curves of Type (1,1,d-2) |
|---|---|
| Authors | |
| Keywords | Rees Algebra Syzygy Implicit Equations Resultant μ-basis |
| Issue Date | 2010 |
| Publisher | European Journal of Pure and Applied Mathematics. The Journal's web site is located at http://www.ejpam.com |
| Citation | European Journal of Pure and Applied Mathematics, 2010, v. 3 n. 4, p. 602-632 How to Cite? |
| Abstract | We provide an algorithm to find a minimal set of generators for the Rees algebra associated to rational space curves of type 1,1,d-2) in projective 3-space based solely on a $mu$-basis of the curve. We also illustrate the geometry behind the generators via a case study of rational quartic space curves. |
| Persistent Identifier | http://hdl.handle.net/10722/134118 |
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.436 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Wang, H | - |
| dc.contributor.author | Hoffman, JW | - |
| dc.contributor.author | Jia, X | - |
| dc.contributor.author | Goldman, R | - |
| dc.date.accessioned | 2011-06-13T06:56:23Z | - |
| dc.date.available | 2011-06-13T06:56:23Z | - |
| dc.date.issued | 2010 | - |
| dc.identifier.citation | European Journal of Pure and Applied Mathematics, 2010, v. 3 n. 4, p. 602-632 | - |
| dc.identifier.issn | 1307-5543 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/134118 | - |
| dc.description.abstract | We provide an algorithm to find a minimal set of generators for the Rees algebra associated to rational space curves of type 1,1,d-2) in projective 3-space based solely on a $mu$-basis of the curve. We also illustrate the geometry behind the generators via a case study of rational quartic space curves. | - |
| dc.language | eng | - |
| dc.publisher | European Journal of Pure and Applied Mathematics. The Journal's web site is located at http://www.ejpam.com | - |
| dc.relation.ispartof | European Journal of Pure and Applied Mathematics | - |
| dc.subject | Rees Algebra | - |
| dc.subject | Syzygy | - |
| dc.subject | Implicit Equations | - |
| dc.subject | Resultant | - |
| dc.subject | μ-basis | - |
| dc.title | Minimal Generators for the Rees Algebra of Rational Space Curves of Type (1,1,d-2) | en_US |
| dc.type | Article | en_US |
| dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1307-5543&volume=3&issue=4&spage=602&epage=632&date=2010&atitle=Minimal+Generators+for+the+Rees+Algebra+of+Rational+Space+Curves+of+Type+(1,1,d-2) | - |
| dc.identifier.email | Jia, X: xhjia@cs.hku.hk | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.hkuros | 182723 | - |
| dc.identifier.volume | 3 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | 602 | - |
| dc.identifier.epage | 632 | - |
| dc.identifier.issnl | 1307-5543 | - |