When do the \(r\)-by-\(r\) minors of a matrix form a tropical basis?
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Publication:388189
DOI10.1016/j.jcta.2013.03.004zbMath1300.14065arXiv1109.2240OpenAlexW2010122474MaRDI QIDQ388189
Publication date: 19 December 2013
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.2240
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Related Items (3)
A separation between tropical matrix ranks ⋮ Tropical positivity and determinantal varieties ⋮ Characteristic classes of affine varieties and Plücker formulas for affine morphisms
Cites Work
- The \(4\times 4\) minors of a \(5\times n\) matrix are a tropical basis
- Example of the matrix of size \((6\times 6)\) with different tropical rank and Kapranov rank
- TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES
- Linear independence over tropical semirings and beyond
- Non-archimedean amoebas and tropical varieties
- The tropical Grassmannian
- Kapranov rank vs. tropical rank
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