3 papers
math.AC2022
Local cohomology under small perturbations
Luís Duarte
Let be a Noetherian local ring and an ideal of . We study how local cohomology modules with support in change for small perturbations o…
math.AC2021
Betti numbers under small perturbations
Luís Duarte
We study how Betti numbers of ideals in a local ring change under small perturbations. Given and given an ideal of a Noetherian local ring , ou…
math.FA2020
Bimodules of Banach space nest algebras
Luís Duarte, Lina Oliveira
We extend to Banach space nest algebras the theory of essential supports and support function pairs of their bimodules, thereby obtaining Banach space counterparts of long establis…