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Example of the matrix of size 6 × 6 with different tropical rank and Kapranov rank

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Abstract

We present an example of a 6 × 6 matrix A such that rk t (A) = 4, rk K (A) = 5. This disproves the conjecture formulated by M. Chan, A. Jensen, and E. Rubei.

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References

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    Ya. N. Shitov

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  1. Ya. N. Shitov
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Original Russian Text © Ya.N. Shitov, 2011, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2011, Vol. 66, No. 5, pp. 58–61.

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Shitov, Y.N. Example of the matrix of size 6 × 6 with different tropical rank and Kapranov rank. Moscow Univ. Math. Bull. 66, 227–229 (2011). https://doi.org/10.3103/S0027132211050109

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  • DOI: https://doi.org/10.3103/S0027132211050109

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