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Proceedings of the American Mathematical Society

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Local algebraicity of some analytic hypersurface

Author: William A. Adkins
Journal: Proc. Amer. Math. Soc. 79 (1980), 546-548
MSC: Primary 32C40; Secondary 14B05
MathSciNet review: 572298
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Abstract: It is proved that an analytic hypersurface germ $ (X,0) \subseteq ({{\mathbf{C}}^{n + 1}},0)$, with nonsingular normalization, whose only singularities outside the origin are normal crossings of two n-manifolds is isomorphic to a germ of an algebraic variety at 0. As a corollary we find that weakly normal surfaces $ V \subseteq {{\mathbf{C}}^3}$ with nonsingular normalization are locally algebraic.

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