English

Numerical Implicitization

Algebraic Geometry 2019-10-16 v2 Mathematical Software Commutative Algebra

Abstract

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

Keywords

Cite

@article{arxiv.1610.03034,
  title  = {Numerical Implicitization},
  author = {Justin Chen and Joe Kileel},
  journal= {arXiv preprint arXiv:1610.03034},
  year   = {2019}
}

Comments

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