COMPARISON OF LIMIT SETS FOR THE ACTION OF KLEINIAN GROUPS IN CPn

The paper proves that for Veronese groups G = Sym^n(Γ) with Γ convex co-compact, the Kulkarni limit set equals the complement of the equicontinuity region and identifies that complement with the union of osculating hyperplanes H_x over x in Λ(Γ) (Theorem 0.1 and Theorem 3.8) . It also describes the equicontinuity complement via quasi-projective (pseudo-projective) limits and shows Eq(G) ⊂ Ω_Kul(G) (Proposition 1.1 and Proposition 1.4) . The candidate solution reproduces this structure: Step 1 gives Eq(G) as CP^n minus the kernels of quasi-projective limits specialized to the Veronese case (yielding the H_x), Step 2 notes Eq ⊂ Ω_Kul, and Step 3 proves the reverse inclusion using proximal/loxodromic dynamics. The dynamics argument is very close in spirit to the paper’s ––lemma/flag-based proof (Proposition 2.17 and Theorems 3.3, 3.8) . Minor differences of presentation (density of fixed-point pairs vs. conical points/KAK) do not affect correctness.