Resultant-Based Method for Overdetermined Strata for Degree 4 hyperbolic Polynomials

Abstract

We present a resultant-based method to calculate the overdetermined strata for degree 4 hyperbolic polynomials in one variable. It is a new method to calculate overdetermined strata. We present also the complete study of the overdetermined strata for degree 4 hyperbolic polynomials by the geometric method.