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1. Numerical Software to Compute Newton Polytopes and Tropical Membership

Author

Brysiewicz, Taylor

Subjects
Mathematics - Algebraic Geometry, 14M25
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., Comment: 16 pages, 5 figures

Published
2018

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