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Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2010 / Cilt: 3 - Sayı: 4

Minimal generators for the Rees algebra of rational space curves of type (1, 1, d −2)

J. William HOFFMAN, Haohao WANG, Xiaohong JIA, Ron GOLDMAN

Pages
602–632
DOI
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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 μ-basis of the curve. We also illustrate the geometry behind the generators via a case study of rational quartic space curves. 2000 Mathematics Subject Classifications: 14Q05 (primary), 13D02, 14H20(secondary)