2 citations · 3 across the 6 of their papers we have counts for
6 papers
-modules, Bernstein-Sato polynomials and -invariants of direct summands
Josep Àlvarez Montaner, Craig Huneke, Luis Núñez-Betancourt
We study the structure of -modules over a ring which is a direct summand of a polynomial or a power series ring with coefficients over a field. We relate properties of $…
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…
Properties of Lyubeznik numbers under localization and polarization
Arindam Banerjee, Luis Núñez-Betancourt, Kohji Yanagawa
We exhibit a global bound for the Lyubeznik numbers of a ring of prime characteristic. In addition, we show that for a monomial ideal, the Lyubeznik numbers of the quotient rings o…
A survey on the Lyubeznik numbers
Luis Núñez-Betancourt, Emily E. Witt, Wenliang Zhang
The Lyubeznik numbers are invariants of a local ring containing a field that capture ring-theoretic properties, but also have numerous connections to geometry and topology. We disc…
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…
F-pure thresholds of homogeneous polynomials
Daniel J. Hernández, Luis Núñez-Betancourt, Emily E. Witt +1
In this article, we investigate F-pure thresholds of polynomials that are homogeneous under some N-grading, and have an isolated singularity at the origin. We characterize these in…