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arXiv · 1811.12279

Numerical Software to Compute Newton Polytopes and Tropical Membership

Taylor Brysiewicz
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Abstract

We present our implementation of an algorithm which functions as a numerical oracle for the Newton polytope of a hypersurface in the Macaulay2 package NumericalNP.m2. We propose a tropical membership test, relying on this algorithm, for higher codimension varieties based on ideas from Hept and Theobald. To showcase this software, we investigate the Newton polytope of both a hypersurface coming from algebraic vision and the Luroth invariant.

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Taylor Brysiewicz. 2018-11-29. Numerical Software to Compute Newton Polytopes and Tropical Membership. https://arxiv.org/abs/1811.12279

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