26 citations · 56 across the 8 of their papers we have counts for
8 papers
Annihilators of -modules in mixed characteristic
Rankeya Datta, Nicholas Switala, Wenliang Zhang
Let be a polynomial or formal power series ring with coefficients in a DVR of mixed characteristic with a uniformizer . We prove that the -module annihilator of any n…
A prime-characteristic analogue of a theorem of Hartshorne-Polini
Nicholas Switala, Wenliang Zhang
Let be an -finite Noetherian regular ring containing an algebraically closed field of positive characteristic, and let be an $\F$-finite $\F$-module over in the…
On completion of graded D-modules
Nicholas Switala, Wenliang Zhang
Let be a polynomial ring over a field of characteristic zero and $\cR$ be the formal power series ring . If is a $\D$-modul…
A dichotomy for the injective dimension of -finite -modules and holonomic -modules
Nicholas Switala, Wenliang Zhang
Let be either an -finite -module over a noetherian regular ring of characteristic or a holonomic -module over a formal power series ring over a field of charac…
Duality and de Rham cohomology for graded -modules
Nicholas Switala, Wenliang Zhang
We consider the (graded) Matlis dual $\DD(M)$ of a graded $\D$-module over the polynomial ring ( is a field of characteristic zero), and show that…
On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero
Nicholas Switala
Let be a complete local ring with a coefficient field of characteristic zero, and let be its spectrum. The de Rham homology and cohomology of have been defined by R…