62 citations · 681 across the 66 of their papers we have counts for
5 papers · 1 filter
Cartier modules on toric varieties
Jen-Chieh Hsiao, Karl Schwede, Wenliang Zhang
Assume that is an affine toric variety of characteristic . Let be an effective toric -divisor such that is -Cartier with index not divisible by and…
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 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…
Lyubeznik numbers of projective schemes
Wenliang Zhang
Let be a projective scheme over a field and let be the local ring at the vertex of the affine cone of under some embedding . We prov…