Tropical Newton–Puiseux Polynomials
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.
KeywordsTropical Newton–Puiseux polynomials Resolution of tropical hypersurfaces
The author is grateful to the grant RSF 16-11-10075 and to MCCME for inspiring atmosphere.