Tropical discriminants

  • Dickenstein A
  • Feichtner E
  • Sturmfels B
  • 14

    Readers

    Mendeley users who have this article in their library.
  • 54

    Citations

    Citations of this article.

Abstract

Tropical geometry is used to develop a new approach to the theory of discriminants and resultants in the sense of Gelfand, Kapranov and Zelevinsky. The tropical -discriminant is the tropicalization of the dual variety of the projective toric variety given by an integer matrix . This tropical algebraic variety is shown to coincide with the Minkowski sum of the row space of and the tropicalization of the kernel of . This leads to an explicit positive formula for all the extreme monomials of any -discriminant.

Author-supplied keywords

  • Tropical geometry
  • discriminant.
  • dual variety

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Alicia Dickenstein

  • Eva Feichtner

  • Bernd Sturmfels

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free