Nonisomorphic algebraic structures on smooth manifolds
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- by J. Bochnak and W. Kucharz PDF
- Proc. Amer. Math. Soc. 101 (1987), 424-426 Request permission
Abstract:
Given a compact smooth hypersurface $M$ in ${{\mathbf {R}}^{n + 1}}$, we construct a family $\left \{ {{X_k}} \right \},k = 1,2, \ldots$, of nonsingular real algebraic subsets of ${{\mathbf {R}}^{n + 1}}$ such that each ${X_k}$ is isotopic to $M$ but, for $k \ne l,{X_k}$ and ${X_l}$ are not birationally equivalent.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 424-426
- MSC: Primary 32B99; Secondary 14G30
- DOI: https://doi.org/10.1090/S0002-9939-1987-0908641-3
- MathSciNet review: 908641