The coincidence conjecture for discriminants of irreducible tuples

Let $A$ be an irreducible tuple, and let the three discriminant sets be those of Definition 2.33, consisting of the discriminant notions defined earlier in the paper. Coincidence conjecture. The three discriminant sets coincide completely; equivalently, they are the same irreducible set. The surrounding section studies dual defectiveness of systems of equations and the common hypersurface components of the three discriminant sets. The supplied text gives no resolution status for this assertion.