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- W2074241782 abstract "It is well known that a morphism onto a weakly normal algebraic variety that is both birational and a universal homemorphism is an isomorphism of varieties. in this note, the author shows that a birational morphism onto a weakly normal algebraic variety X with a continuous inverse is necessarily an isomorphism of varieties if and only if X had no one-dimensional components. Thus the characterization of the weak normalization of a variety X as the largest variety that is birationally homeomorphic to X is only valid in the absence of one-dimensional components. All varieties are over a fixed algebraically closed field." @default.
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- W2074241782 date "1989-02-01" @default.
- W2074241782 modified "2023-09-24" @default.
- W2074241782 title "Homeomorphism versus isomorphism for varieties" @default.
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- W2074241782 doi "https://doi.org/10.1016/0022-4049(89)90062-5" @default.
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