Mall bundles and flat connections on Hopf manifolds

The paper proves Flat ⇒ Mall and, conversely, that any non‑resonant Mall bundle admits a unique compatible flat holomorphic connection (Theorem 5.15), using Mall’s cohomology theorem and a vanishing argument for curvature. The model gives an alternative, constructive proof: extend the γ-linearization across 0 by Hartogs, conjugate it to a constant via a uniformly convergent infinite product, and descend the trivial connection; uniqueness follows from H^0(H, Ω_H^1 ⊗ End B)=0. The model’s construction in fact suggests flat connections exist for all Mall bundles (not only non‑resonant), which goes beyond what the paper claims, but does not contradict it.