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Tropical Newton-Puiseux polynomials. (English) Zbl 1453.14148

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 20th international workshop, CASC 2018, Lille, France, September 17–21, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11077, 177-186 (2018).
Summary: We introduce tropical Newton-Puiseux polynomials admitting rational exponents. A resolution of a tropical hypersurface is defined by means of a tropical Newton-Puiseux polynomial. A polynomial complexity algorithm for resolubility of a tropical curve is designed. The complexity of resolubility of tropical prevarieties of arbitrary codimensions is studied.
For the entire collection see [Zbl 1396.68014].

MSC:

14T15 Combinatorial aspects of tropical varieties
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
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