2016/10/31 by Justin Chen, Joe Kileel
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Algebraic variety #Algorithm #Computation #Degree (music) #Dimension (graph theory) #Function (biology) #Homotopy #Mathematical analysis #Mathematics #Monodromy #Physics #Polynomial #Polynomial and algebraic computation #Pure mathematics #cs.MS #math.AC #math.AG #msc:14-04 #msc:14Q99 #msc:65H10 #msc:65H20
paper · pdf · doi:10.2140/jsag.2019.9.55
published as J. Softw. Alg. Geom. 9 (2019) 55-63 · 5 pages, various improvements, to appear in Journal of Software for Algebra and Geometry
arxiv created 2019/04/13 · openalex publication_date 2019/07/05 · arxiv updated 2019/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the NumericalImplicitization package for Macaulay2, which allows for user-friendly computation of the invariants of the image of a polynomial map, such as dimension, degree, and Hilbert function values. This package relies on methods of numerical algebraic geometry, including homotopy continuation and monodromy.