TL;DR
The paper introduces the NumericalImplicitization package for Macaulay2, enabling users to compute algebraic invariants of polynomial map images using numerical algebraic geometry techniques like homotopy continuation.
Contribution
It provides a user-friendly tool that applies numerical algebraic geometry methods to compute invariants of polynomial map images within Macaulay2.
Findings
Successfully computes dimension, degree, and Hilbert function values of polynomial map images.
Utilizes homotopy continuation and monodromy methods for robust numerical computations.
Enhances accessibility of algebraic invariant computation for researchers.
Abstract
We present the package for , 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.
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