热带正性和决定性品种

Q3 Mathematics

Algebraic Combinatorics Pub Date : 2023-08-29 DOI:10.5802/alco.286

Marie-Charlotte Brandenburg, Georg Loho, Rainer Sinn

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引用次数: 1

摘要

我们开始研究正热带发电机作为热带基地概念的正类似物。将此应用于决定品种的热带化，我们开发了表征其积极部分的标准。我们主要研究低秩矩阵，特别是秩2和秩3的矩阵。此外，在corank 1的方阵情况下，我们完全分类了行列式变化的符号热带化，甚至超出了正部分。

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Tropical positivity and determinantal varieties

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 of square-matrices of corank 1, we fully classify the signed tropicalization of the determinantal variety, even beyond the positive part.

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来源期刊

Algebraic Combinatorics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

51 weeks