Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 58-61
Citer cet article
Ya. Shitov. Example of the matrix of size $6\times6$ with different tropical rank and Kapranov rank. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 58-61. http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a12/
@article{VMUMM_2011_5_a12,
author = {Ya. Shitov},
title = {Example of the matrix of size $6\times6$ with different tropical rank and {Kapranov} rank},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {58--61},
year = {2011},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a12/}
}
TY - JOUR
AU - Ya. Shitov
TI - Example of the matrix of size $6\times6$ with different tropical rank and Kapranov rank
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2011
SP - 58
EP - 61
IS - 5
UR - http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a12/
LA - ru
ID - VMUMM_2011_5_a12
ER -
%0 Journal Article
%A Ya. Shitov
%T Example of the matrix of size $6\times6$ with different tropical rank and Kapranov rank
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2011
%P 58-61
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a12/
%G ru
%F VMUMM_2011_5_a12
We provide an example of a $6$-by-$6$ matrix $A$ such that $\operatorname{rk}_t(A)=4$, $\operatorname{rk}_K(A)=5$. This disproves the conjecture formulated by M. Chan, A. Jensen, and E. Rubei.
