2 papers
math.AC2022
Algebraic Approximation of Cohen-Macaulay Algebras
Aftab Patel
This paper shows that Cohen-Macaulay algebras can be algebraically approximated in such a way that their Cohen-Macaulayness and minimal Betti numbers are preserved. This is achieve…
math.AG2019
Equisingular algebraic approximation of real and complex analytic germs
Janusz Adamus, Aftab Patel
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 fun…