14 citations · 27 across the 6 of their papers we have counts for
7 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…
Local Okounkov bodies and limits in prime characteristic
Daniel J. Hernández, Jack Jeffries
This article is concerned with the asymptotic behavior of certain sequences of ideals in rings of prime characteristic. These sequences, which we call -families of ideals, are u…
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-threshold functions: syzygy gap fractals and the two-variable homogeneous case
Daniel J. Hernández, Pedro Teixeira
In this article we study F-pure thresholds (and, more generally, F-thresholds) of homogeneous polynomials in two variables over a field of characteristic p>0. Passing to a field ex…
F-pure thresholds of binomial hypersurfaces
Daniel J. Hernández
In this note, we use estimates given in the recent preprint [Her11b]to deduce a formula for the F-pure threshold of a binomial hypersurface over a field of prime characteristic. Th…
F-purity versus log canonicity for polynomials
Daniel J. Hernández
In this article, we consider the conjectured relationship between F-purity and log canonicity for polynomials over the complex numbers. We associate to a collection M of n monomial…
Log canonical thresholds, F-pure thresholds, and non-standard extensions
Bhargav Bhatt, Daniel J. Hernandez, Lance E. Miller +1
We present a new relation between an invariant of singularities in characteristic zero (the log canonical threshold) and an invariant of singularities defined via the Frobenius mor…