Lu'is Duarte

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20202022

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math.AC2022

Local cohomology under small perturbations

Luís Duarte

Let $(R, m)$ be a Noetherian local ring and $I$ an ideal of $R$ . We study how local cohomology modules with support in $m$ change for small perturbations $J$ 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 $p \in N$ and given an ideal $I$ of a Noetherian local ring $(R, m)$ , ou…