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Uniform approximation on smooth curves

โœ Scribed by Gabriel Stolzenberg

Book ID
112742187
Publisher
Springer Netherlands
Year
1966
Tongue
English
Weight
712 KB
Volume
115
Category
Article
ISSN
0001-5962

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Approximation by smooth curves near the
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โœ Anvar R. Mavlyutov ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

We show that through a point of an affine variety there always exists a smooth plane curve inside the ambient affine space, which has the multiplicity of intersection with the variety at least 3. This result has an application to the study of affine schemes.