Example of a 6-by-6 Matrix with Different Tropical and Kapranov Ranks

Abstract

We provide an example of a 6-by-6 matrix with tropical rank equal to 4 and Kapranov rank equal to 5. This answers a question asked by M. Chan, A. Jensen, and E. Rubei.

References in corpus (1)

• The 4x4 minors of a 5xn matrix are a tropical basis

Cited by in corpus (1)

• When do the r-by-r minors of a matrix form a tropical basis?