4 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
On the discreteness and rationality of F-jumping coefficients
Mordechai Katzman, Gennady Lyubeznik, Wenliang Zhang
This paper studies the jumping coefficients of principal ideals of regular local rings. Recently M. Blickle, M. Mustata and K. Smith showed that, when is of essentially finite…
On some local cohomology modules
Gennady Lyubeznik
Let R be a commutative Noetherian d-dimensional complete equicharacterisitc regular local ring and let I be an ideal of R such that every minimal prime over I has height at most c.…
On some local cohomology invariants of local rings
Gennady Lyubeznik
Let A be a commutative Noetherian local ring containing a field of characteristic p>0. The integer invariants have been introduced in an old paper of ours. In this pap…
Generators of D-modules in positive characteristic
Josep Alvarez-Montaner, Manuel Blickle, Gennady Lyubeznik
Let R be either a polynomial or a formal power series ring in a finite number of variables over a field k of characteristic p > 0 and let D be the ring of klinear differential oper…
A surprising fact about D-modules in characteristic p>0
Josep Alvarez Montaner, Gennady Lyubeznik
Let R=k[x_1,...,x_d] be the polynomial ring in d independent variables, where k is a field of characteristic p>0. Let D be the ring of k-linear differential operators of R and let…