INVESTIGADORES
DICKENSTEIN Alicia Marcela
artículos
Título:
Tropical discriminants
Autor/es:
A. DICKENSTEIN, E.M. FEICHTNER, B. STURMFELS
Revista:
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
American Mathematical Society
Referencias:
Lugar: Providence; Año: 2007 vol. 20 p. 1111 - 1133
ISSN:
0894-0347
Resumen:
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, which is the tropicalization of the dual variety of the projective toric variety given by an integer matrix A, is shown to coincide with the Minkowski sum of the row space of A and of the tropicalization of the kernel of A. This leads to an explicit positive formula for the extreme monomials of any A-discriminant, without any smoothness assumption.