Numerical Implicitization

Abstract

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

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