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We introduce the notion of tropical defects, certificates that a system of polynomial equations is not a tropical basis, and provide two algorithms for finding them in affine spaces of… Click to show full abstract
We introduce the notion of tropical defects, certificates that a system of polynomial equations is not a tropical basis, and provide two algorithms for finding them in affine spaces of complementary dimension to the zero set. We use these techniques to solve open problems regarding del Pezzo surfaces of degree 3 and realizability of valuated gaussoids on 4 elements.
Keywords:
defects polynomial;
detecting tropical;
tropical defects;
polynomial equations
Journal Title: Journal of Algebraic Combinatorics
Year Published: 2019
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Journal Title: Journal of Algebraic Combinatorics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!