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

Authors

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

Keywords:

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

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.

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Published

2010-09-02

Issue

Vol. 3 No. 4: (July 2010)

Section

Algebraic Geometry

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How to Cite

Minimal Generators for the Rees Algebra of Rational Space Curves of Type (1,1,d-2). (2010). European Journal of Pure and Applied Mathematics, 3(4), 602-632. https://www.ejpam.com/index.php/ejpam/article/view/841