1 citations · 1 across the 3 of their papers we have counts for
5 papers
The Briancon-Skoda number of analytic irreducible planar curves
Jacob Sznajdman
The Briancon-Skoda number of a ring R is defined as the smallest integer k, such that for any ideal I\subset R and r\geq 1, the integral closure of I^{k+r-1} is contained in I^r. W…
A residue calculus approach to the uniform Artin-Rees lemma
Jacob Sznajdman
The uniform Artin-Rees lemma has been proved by C. Huneke using algebraic methods. We give a new proof for this result in the analytic setting using residue calculus. We also have…
A Briançon-Skoda type result for a non-reduced analytic space
Jacob Sznajdman
We present here an analogue of the Briançon-Skoda theorem for a germ of an analytic space at 0, such that is Cohen-Macaulay, but not necessarily reduced. More precise…
An elementary proof of the Briancon-Skoda theorem
Jacob Sznajdman
We give a new elementary proof of the Briançon-Skoda theorem, which states that for an -generated ideal in the ring of germs of analytic functions at $0\in \C^n$,…
On the Briancon-Skoda theorem on a singular variety
Mats Andersson, Håkan Samuelsson, Jacob Sznajdman
Let be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring ; a result whi…