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Consider a space X with the singular locus of positive dimension, Z=Sing(X).Suppose both Z and X are locally complete intersections at each point. Thetransversal type of X along Z is generically constant but at some points of Zit degenerates. In the previous work we have introduced (locally) thediscriminant of the transversal type, a subscheme of Z, that reflects thesedegenerations whenever the generic transversal type is "ordinary". We haveestablished the basic local properties of the discriminant.  In the current paper we consider the global case. We compute the equivalenceclass of the discriminant in the Picard group, Pic(Z). If $X$ is ahypersurface, the discriminant is naturally stratified by the singularities offibres in the projectivized normal cone $\mathbb{P}$N$_{X/Z}$.  In this case (under some additional assumptions) we compute the classes oflow codimension strata in the Chow group, A$^2$(Z).  As immediate applications, we (re)derive the multi-degrees of the classicaldiscriminant of projective complete intersections and bound the jumps ofmultiplicity of X along Z (when the singular locus is one-dimensional).

Discriminant of the ordinary transversal singularity type. The global equivalence class