Numerical implicitization

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 05 Jul 2019Embargo end date: 01 Jan 2016 English Publisher:Mathematical Sciences PublishersJournal:Journal of Software for Algebra and Geometry, volume 9, pages 55-63 (eissn: 1948-7916,

Copyright policy )Funded by:NSF | Commutative Algebra, Alge...

Authors: Chen, Justin; Kileel, Joe;

doi: 10.2140/jsag.2019.9.55 , 10.48550/arxiv.1610.03034

arXiv: 1610.03034

Numerical implicitization

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Abstract

We present the $\textit{NumericalImplicitization}$ package for $\textit{Macaulay2}$, 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.

5 pages, various improvements, to appear in Journal of Software for Algebra and Geometry

Related Organizations

College of New Jersey
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Georgia Institute of Technology
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University of California, Berkeley
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Princeton University
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Keywords

FOS: Computer and information sciences, Mathematics - Algebraic Geometry, FOS: Mathematics, Computer Science - Mathematical Software, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG), Mathematical Software (cs.MS), 14-04, 14Q99, 65H10, 65H20

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