On complex algebraic varieties, height functions arising in combinatorial applications fail to be proper. This complicates both the description and computation via Morse theory of key topological invariants. Here we establish checkable conditions under which behavior at infinity may ignored, usual theorems classical stratified applied. allows for simplified arguments field analytic combinatoric...

Abstract In this paper we study the class of mathematical programs with complementarity constraints MPCC. Under Linear Independence constraint qualification MPCC-LICQ state a topological as well an equivalent algebraic characterization for strong stability (in sense Kojima) M-stationary point By allowing perturbations describing functions up to second order, concept refers here local existence ...