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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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://ejpam.com/index.php/ejpam/article/view/841