Geometric Convexity Properties of Coverings of 1-Convex Surfaces
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We prove that a complex surface that contains an infinite Nori string of rational curves is not \(p_5\)-convex and that a covering of a 1-convex complex surface which does not contain an infinite Nori string of rational curves is \(p_5\)-convex.
Keywords1-Convex surface Covering space Holomorphically convex space Stein space Proper modification
Mathematics Subject Classification32E05 32F10 32C35 32F32