An improved Briancon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras.
Aritmética de los semigrupos de Arf y saturados. Aplicaciones.
Artin Approximation and Formal Fibres of Local Rings.
Artin-Nagata properties and Cohen-Macaulay associated graded rings
Associated graded rings and connected sums
In 2012, Ananthnarayan, Avramov and Moore gave a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. In this article, we investigate conditions on the associated graded ring of a Gorenstein Artin local ring , which force it to be a connected sum over its residue field. In particular, we recover some results regarding short, and stretched, Gorenstein Artin rings. Finally, using these decompositions, we obtain results about the rationality of the Poincaré...
Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures