Tropical bases by regular projections

Details Tropical bases by regular projections Tropical bases by regular projections

2007-08-13

arxiv.org/abs/0708.1727v2

Mathematics

Algebraic Geometry

10 pages, 1 figure minor revisions

Scientific paper

We consider the tropical variety $\mathcal{T}(I)$ of a prime ideal $I$ generated by the polynomials $f_1, ..., f_r$ and revisit the regular projection technique introduced by Bieri and Groves from a computational point of view. In particular, we show that $I$ has a short tropical basis of cardinality at most $r + \codim I + 1$ at the price of increased degrees, and we provide a computational description of these bases.

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