Abstract
We consider the tropical variety 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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