# Tropical bases by regular projections - Mathematics > Algebraic Geometry

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Abstract: 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 projectiontechnique introduced by Bieri and Groves from a computational point of view. Inparticular, 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 acomputational description of these bases.

Author: Kerstin Hept, Thorsten Theobald

Source: https://arxiv.org/