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Numerical Implicitization (1610.03034v2)
Published 10 Oct 2016 in math.AG, cs.MS, and math.AC
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.