Approximation by smooth curves near the tangent cone
alg-geom
2016-08-30 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.alg-geom/9711004,
title = {Approximation by smooth curves near the tangent cone},
author = {Anvar R. Mavlyutov},
journal= {arXiv preprint arXiv:alg-geom/9711004},
year = {2016}
}
Comments
Extended version of the paper with an application to studying schemes of algebras included