Equations of Parametric Surfaces via Syzygies

2000/10/11 by David A. Cox, Cox, David A. · 1 citation
Computer Science · Engineering · Mathematics · #14Q05 #14Q10 (Primary) 13D02 #65D17 (Secondary) #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Computational Geometry and Mesh Generation #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #msc:13D02 #msc:14Q05 #msc:14Q10 #msc:65D17

paper · pdf · doi:10.48550/arxiv.math/0010107

24 pages. LaTeX2e with amsmath and amsfonts packages

openalex publication_date 2000/10/11 · arxiv created 2001/02/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The revised version has two additional references and a shorter proof of Proposition 5.7. This version also makes numerous small changes and has an appendix containing a proof of the degree formula for a parametrized surface.

Cited by

• Determinantal tensor product surfaces and the method of moving quadrics

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