ABSTRACT
Definition. Let p be a real polynomial on Rn of degree m > 0 and Z its zero set. We call p and Z oscillatory with respect to a point a ∈ Rn\Z, if p has m simple zeros in L for almost any line L ⊂ Rn through a. Such a point a is called hyperbolic. We call a hyperbolic cavity of an oscillatory polynomial p any maximal connected set H of hyperbolic points a.
