265 citations · 300 across the 15 of their papers we have counts for
4 papers · 1 filter
Two interesting examples of -modules in characteristic
Mordechai Katzman, Gennady Lyubeznik, Wenliang Zhang
We provide two examples of -modules in prime characteristic which answer two open problems in \cite{Lyubeznik} in the negative.
An upper bound on the number of F-jumping coefficients of a principal ideal
Mordechai Katzman, Gennady Lyubeznik, Wenliang Zhang
We prove a result relating the Jacobian ideal and the generalized test ideal associated to a principal ideal in with or in …
A characteristic-free proof of a basic result on D-modules
Gennady Lyubeznik
Let k be a field, let R be a ring of polynomials in a finite number of variables over k, let D be the ring of k-linear differential operators of R and let f be a non-zero element o…
A Property of the Frobenius Map of a Polynomial Ring
Gennady Lyubeznik, Wenliang Zhang, Yi Zhang
Let R be a ring of polynomials in a finite number of variables over a perfect field k of characteristic p>0 and let F:R\to R be the Frobenius map of R, i.e. F(r)=r^p. We explicitly…