2013/01/05 by Shaoshi Chen, Maximilian Jaroschek, Chen, Shaoshi +5 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Harmonic Analysis Research #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #Holomorphic and Operator Theory #I.1.2 #Symbolic Computation (cs.SC) #cs.SC
paper · pdf · doi:10.48550/arxiv.1301.0917
arxiv created 2013/01/05 · openalex publication_date 2013/01/05 · arxiv updated 2013/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Desingularization is the problem of finding a left multiple of a given Ore operator in which some factor of the leading coefficient of the original operator is removed. An order-degree curve for a given Ore operator is a curve in the (r,d)-plane such that for all points (r,d) above this curve, there exists a left multiple of order r and degree d of the given operator. We give a new proof of a desingularization result by Abramov and van Hoeij for the shift case, and show how desingularization implies order-degree curves which are extremely accurate in examples.