Tropical positivity and determinantal varieties
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Publication:6088384
DOI10.5802/ALCO.286arXiv2205.14972OpenAlexW4386245668MaRDI QIDQ6088384
Author name not available (Why is that?)
Publication date: 14 December 2023
Published in: (Search for Journal in Brave)
Abstract: We initiate the study of positive-tropical generators as positive analogues of the concept of tropical bases. Applying this to the tropicalization of determinantal varieties, we develop criteria for characterizing their positive part. We focus on the study of low-rank matrices, in particular matrices of rank 2 and 3. Moreover, in the case square-matrices of corank 1, we fully classify the signed tropicalization of the determinantal variety, even beyond the positive part.
Full work available at URL: https://arxiv.org/abs/2205.14972
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