English

Tropical bases by regular projections

Algebraic Geometry 2011-11-10 v2 Combinatorics

Abstract

We consider the tropical variety T(I)\mathcal{T}(I) of a prime ideal II generated by the polynomials f1,...,frf_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 II has a short tropical basis of cardinality at most r+\codimI+1r + \codim I + 1 at the price of increased degrees, and we provide a computational description of these bases.

Keywords

Cite

@article{arxiv.0708.1727,
  title  = {Tropical bases by regular projections},
  author = {Kerstin Hept and Thorsten Theobald},
  journal= {arXiv preprint arXiv:0708.1727},
  year   = {2011}
}

Comments

10 pages, 1 figure minor revisions

R2 v1 2026-06-21T09:07:03.889Z