Local algebraicity of some analytic hypersurface
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- by William A. Adkins PDF
- Proc. Amer. Math. Soc. 79 (1980), 546-548 Request permission
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.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 546-548
- MSC: Primary 32C40; Secondary 14B05
- DOI: https://doi.org/10.1090/S0002-9939-1980-0572298-8
- MathSciNet review: 572298