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Tropical Newton–Puiseux Polynomials

  • Dima GrigorievEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11077)

Abstract

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.

Keywords

Tropical Newton–Puiseux polynomials Resolution of tropical hypersurfaces 

Notes

Acknowledgments

The author is grateful to the grant RSF 16-11-10075 and to MCCME for inspiring atmosphere.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.CNRS, Mathématiques, Université de LilleVilleneuve d’AscqFrance

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