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A characterization of normal analytic spaces by the homological codimension of the structure sheaf

A characterization of normal analytic spaces by the homological codimension of the structure sheaf

In 1951 K. Oka proved that if X is a hypersurface in C n whose singular set Σ(X) has codimension at least 2 in X, then X is a normal analytic space.This result was subsequently generalized by S. Abhyankar and (independently) W. Thimm to the case of a complete intersection.The …