INVESTIGADORES
DICKENSTEIN Alicia Marcela
congresos y reuniones científicas
Título:
Tropical discriminants
Autor/es:
A. DICKENSTEIN, E.M. FEICHTNER, B. STURMFELS
Lugar:
Minneapolis, USA
Reunión:
Conferencia; Algebraic Geometry and Applications Seminar; 2006
Institución organizadora:
IMA
Resumen:
Tropical geometry is used to develop a
new approach to the theory ofdiscriminants and resultants in the
sense of Gel'fand, Kapranov and Zelevinsky.The tropical
A-discriminant, which is the tropicalization of the dual varietyof
the projective toric variety given by an integer matrix A, is shown
tocoincide with the Minkowski sum of the row space of A and of
the tropicalizationof the kernel of A. This leads to an explicit
positive formula for the extrememonomials of any A-discriminant,
and to a combinatorial rule for deciding whentwo regular
triangulations of A correspond to the same monomial of
theA-discriminant. Joint work with Eva Maria Feichtner and Bernd
Sturmfels.
