2003/06/11 by William A. Adkins, William Adkins, J. William Hoffman +4
Engineering · Mathematics · #13D02 #14Q05 #14Q10 #Advanced Differential Equations and Dynamical Systems #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #math.AG #msc:13D02 #msc:14Q05 #msc:14Q10
paper · pdf · doi:10.48550/arxiv.math/0306195
22 pages. Revised version adds proofs that were originally quoted from Hoffman and Wang (arxiv.,org/abs/math.AG/0305125). The paper of Hoffman and Wang has now been withdrawn
openalex publication_date 2003/06/11 · arxiv created 2003/07/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let S be a parametric surface in \proj3 given as the image of ϕ: \proj1 × \proj1 → \proj3. This paper will show that the use of syzygies in the form of a combination of moving planes and moving quadrics provides a valid method for finding the implicit equation of S when certain base points are present. This work extends the algorithm provided by Cox for when ϕ has no base points, and it is an analogous to some of the results of Busé, Cox and D'Andrea for the case when ϕ: \proj2 → \proj3 has base points.