Approximation by smooth curves near the tangent cone

✍ Scribed by Anvar R. Mavlyutov

• Book ID: 104140775
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 94 KB
• Volume: 266
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00329-6

✦ Synopsis

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.