4 citations · 8 across the 6 of their papers we have counts for
8 papers
Local m-adic constancy of F-pure thresholds and test ideals
Daniel J. Hernández, Luis Núñez-Betancourt, Emily E. Witt
In this note, we consider a corollary of the ACC conjecture for F-pure thresholds. Specifically, we show that the F-pure threshold (and more generally, the test ideals) associated…
Cohomological dimension, Lyubeznik numbers, and connectedness properties in mixed characteristic
Daniel J. Hernández, Luis Núñez-Betancourt, Felipe Pérez +1
We establish a "second vanishing theorem" for local cohomology modules over regular rings of unramified mixed characteristic, which relates the connectedness of the spectrum of a r…
F-thresholds of graded rings
Alessandro De Stefani, Luis Núñez-Betancourt
The a-invariant, the F-pure threshold, and the diagonal F-threshold are three important invariants of a graded K-algebra. Hirose, Watanabe, and Yoshida have conjectured relations a…
On the Hyperhomology of the Small Gobelin in Codimension 2
Xavier Gómez-Mont, Luis Núñez-Betancourt
Given a zero-dimensional Gorenstein algebra and two syzygies between two elements , one constructs a double complex of -modules, ${\c…
Generalized Lyubeznik numbers
Luis Núñez-Betancourt, Emily E. Witt
Given a local ring containing a field, we define and investigate a family of invariants that includes the Lyubeznik numbers, but that captures finer information. These "generalized…
Local cohomology modules of polynomial or power series rings over rings of small dimension
Luis Nunez-Betancourt
Let be a ring and be a polynomial or a power series ring over . When has dimension zero, we show that the Bass numbers and the associated primes of the local cohomol…
On certain rings of differentiable type and finiteness properties of local cohomology
Luis Nunez-Betancourt
Let be a commutative -algebra, where is a field of characteristic 0, satisfying the following conditions: is equidimensional of dimension , every residual field w…
Local cohomology properties of direct summands
Luis Nunez-Betancourt
In this article, we prove that if is a homomorphism of Noetherian rings that splits, then for every and ideal , $\Ass_R H^i_I(R)$ is finite when $\As…