Tropicalization and irreducibility of generalized Vandermonde determinants
Carlos D’Andrea, Luis Felipe Tabera · Proceedings of the American Mathematical Society · 2009
We find geometric and arithmetic conditions in order to characterize the irreducibility of the determinant of the generic Vandermonde matrix over the algebraic closure of any field $k$. We also characterize those determinants whose tropicalization with respect to the variables of a row is irreducible.