Numerical Implicitization
Abstract
We present the $\textit{NumericalImplicitization}$ package for $\textit{Macaulay2}$, which allows for userfriendly 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.
 Publication:

arXiv eprints
 Pub Date:
 October 2016
 DOI:
 10.48550/arXiv.1610.03034
 arXiv:
 arXiv:1610.03034
 Bibcode:
 2016arXiv161003034C
 Keywords:

 Mathematics  Algebraic Geometry;
 Computer Science  Mathematical Software;
 Mathematics  Commutative Algebra;
 1404;
 14Q99;
 65H10;
 65H20
 EPrint:
 5 pages, various improvements, to appear in Journal of Software for Algebra and Geometry