3 papers
math.AC2018
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…
math.AC2016
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…
math.AC2012
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…