Resumen de Tropical discriminants
Alicia Dickenstein, Eva María Feichtner, Bernd Sturmfels
Tropical geometry is used to develop a new approach to the theory of discriminants and resultants in the sense of Gel ' fand, Kapranov and Zelevinsky. The tropical $A$-discriminant is the tropicalization of the dual variety of the projective toric variety given by an integer matrix $A$. This tropical algebraic variety is shown to coincide with the Minkowski sum of the row space of $A$ and the tropicalization of the kernel of $A$. This leads to an explicit positive formula for all the extreme monomials of any $A$-discriminant.
