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• W2913056486 abstract "Abstract We present an algorithm for the classification of triples of lattice polytopes with a given mixed volume m in dimension 3. It is known that the classification can be reduced to the enumeration of so-called irreducible triples, the number of which is finite for fixed m . Following this algorithm, we enumerate all irreducible triples of normalized mixed volume up to 4 that are inclusion-maximal. This produces a classification of generic trivariate sparse polynomial systems with up to 4 solutions in the complex torus, up to monomial changes of variables. By a recent result of Esterov, this leads to a description of all generic trivariate sparse polynomial systems that are solvable by radicals." @default.
• W2913056486 created "2019-02-21" @default.
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• W2913056486 date "2020-10-13" @default.
• W2913056486 modified "2023-10-06" @default.
• W2913056486 title "Classification of Triples of Lattice Polytopes with a Given Mixed Volume" @default.
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• W2913056486 doi "https://doi.org/10.1007/s00454-020-00246-4" @default.
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