Mixed Discriminants
Algebraic Geometry
2011-12-06 v1 Symbolic Computation
Combinatorics
Abstract
The mixed discriminant of n Laurent polynomials in n variables is the irreducible polynomial in the coefficients which vanishes whenever two of the roots coincide. The Cayley trick expresses the mixed discriminant as an A-discriminant. We show that the degree of the mixed discriminant is a piecewise linear function in the Plucker coordinates of a mixed Grassmannian. An explicit degree formula is given for the case of plane curves.
Keywords
Cite
@article{arxiv.1112.1012,
title = {Mixed Discriminants},
author = {Eduardo Cattani and Maria Angelica Cueto and Alicia Dickenstein and Sandra Di Rocco and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1112.1012},
year = {2011}
}
Comments
17 pages