Minimal Generators for the Rees Algebra of Rational Space Curves of Type (1,1,d-2)

Haohao Wang, J. William Hoffman, Xiaohong Jia, Rong Goldman

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.

Keywords

Rees Algebra, Syzygy, Implicit Equations, Resultant, μ-basis

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