Equisingular algebraic approximation of real and complex analytic germs
Algebraic Geometry
2019-10-28 v1 Commutative Algebra
Complex Variables
Abstract
We show that a Cohen-Macaulay analytic singularity can be arbitrarily closely approximated by germs of Nash sets which are also Cohen-Macaulay and share the same Hilbert-Samuel function. We also prove that every analytic singularity is topologically equivalent to a Nash singularity with the same Hilbert-Samuel function.
Cite
@article{arxiv.1910.11498,
title = {Equisingular algebraic approximation of real and complex analytic germs},
author = {Janusz Adamus and Aftab Patel},
journal= {arXiv preprint arXiv:1910.11498},
year = {2019}
}