7 citations · 21 across the 8 of their papers we have counts for
11 papers
Bernstein's inequality and holonomicity for certain singular rings
Josep Àlvarez Montaner, Daniel J. Hernández, Jack Jeffries +3
In this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly…
Bernstein-Sato functional equations, -filtrations, and multiplier ideals of direct summands
Josep Àlvarez Montaner, Daniel J. Hernández, Jack Jeffries +3
This paper investigates the existence and properties of a Bernstein-Sato functional equation in nonregular settings. In particular, we construct -modules in which such formal eq…
The FrobeniusThresholds package for Macaulay2
Daniel J. Hernández, Karl Schwede, Pedro Teixeira +1
This article describes the \emph{Macaulay2} package \emph{FrobeniusThresholds}, designed to estimate and calculate -pure thresholds, more general -thresholds, and related num…
The TestIdeals package for Macaulay2
Alberto F. Boix, Daniel J. Hernández, Zhibek Kadyrsizova +7
This note describes a \emph{Macaulay2} package for computations in prime characteristic commutative algebra. This includes Frobenius powers and roots, -linear and -l…
Frobenius powers of some monomial ideals
Daniel J. Hernández, Pedro Teixeira, Emily E. Witt
In this paper, we characterize the (generalized) Frobenius powers and critical exponents of two classes of monomial ideals of a polynomial ring in positive characteristic: powers o…
Frobenius powers
Daniel J. Hernández, Pedro Teixeira, Emily E. Witt
This article extends the notion of a Frobenius power of an ideal in prime characteristic to allow arbitrary nonnegative real exponents. These generalized Frobenius powers are close…