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Example of a 6-by-6 Matrix with Different Tropical and Kapranov Ranks
matrix theory tropical semiring tropical rank Kapranov rank
2011/2/28
We provide an example of a 6-by-6 matrix A such that rkt(A) = 4, rkK(A) = 5. This answers a question asked by M. Chan, A. Jensen, and E. Rubei.
This paper is a combinatorial and computational study of the moduli space Mtr g of tropical curves of genus g, the moduli space Atr g of principally polarized tropical abelian varieties, and the tropi...