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I correct an error in my article arXiv:0911.5474, concerning thenon-surjectivity of the Wahl map of nodal curves on K3 surfaces. I prove that amodification of the Wahl map is indeed non-surjective for nodal curves with alow number of nodes, on arbitrary K3 surfaces. Along the way, I also obtain alower bound of independent interest for the multiple point Seshadri constantsof K3 surfaces with cyclic Picard group.

About the surjectivity of the Wahl map of nodal curves on K3 surfaces