Constructive proof of extended Kapranov theorem

Details Constructive proof of extended Kapranov theorem Constructive proof of extended Kapranov theorem

2008-10-27

arxiv.org/abs/0810.4907v1

First publiched in the Proceedings of the X Encuentro en \'Algebra Computacional y Aplicaciones, EACA 2006, Sevilla, (F. J. Ca

Mathematics

Commutative Algebra

4 pages, Proceedings of EACA 2006

Scientific paper

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 $(K^*)^n$.

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