Constructive proof of extended Kapranov theorem

Abstract

Kapranov Theorem is a well known generalization of Newton-Puiseux theorem for the case of several variables. This theorem is stated mainly in the context of tropical geometry. We present a new, constructive proof, that also characterizes the possible principal terms of points in a hypersurface contained in the algebraic torus $(K^{\ast }{)}^n$.

4 pages, Proceedings of EACA 2006

References in corpus (1)

• Patchworking singular algebraic curves, non-Archimedean amoebas and enumerative geometry