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We establish the uniqueness of the symplectic 4-manifolds which admit low degree symplectic embeddings into CP 3 . We also discuss the uniqueness of the fundamental group of the complement of such embeddings into arbitrary symplectic 6-manifolds.doi:10.1090/s0002-9939-05-08054-8 fatcat:yw46ngm6l5huzcrgzgcvi3esvi