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Bulletin of the Faculty of Education, Wakayama University. Natural science 55
2005-02-28 発行
EVERY COMPACTIFIABLE C^∞ MANIFOLD ADMITS UNCOUNTABLY MANY ALGEBRAIC MODELS
コンパクト化可能多様休の実代数多様休構造について
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Language
eng
Start Page
21
End Page
22
Abstract Alternative
We prove that every compactifiable C^∞ manifold M of positive dimension admits an uncountable family of nonsingular algebraic subsets {X_λ} of some Euclidean space such that each X_λ is C^∞ diffeomorphic to M and that X_λ is not birationally equivalent to X_μ for _λ ≠ μ.
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PP. 15 - 19