62 citations · 681 across the 66 of their papers we have counts for
36 papers · 1 filter
Keller maps and holonomic -modules
Wenliang Zhang
Let $\kk$ be a field of characteristic and $R=\kk[x_1,\dots,x_n]$. Let denote the ring of $\kk$-linear differential operators on . Let be a $\kk$-algebra endo…
-modules with applications to -modules
Wenliang Zhang
Using a theory of -modules (a natural extension of Lyubeznik's -module theory), we extend results on Matlis dual of -finite -modules to -submodules of -finite…
Local cohomology -- an invitation
Uli Walther, Wenliang Zhang
This article is part introduction and part survey to the mathematical area centered around local cohomology.
The Second Vanishing Theorem for Local Cohomology Modules
Wenliang Zhang
We prove the Second Vanishing Theorem for local cohomology modules of an unramified regular local ring in its full generality and provide a new proof of the Second Vanishing Theore…
On asymptotic socle degrees of local cohomology modules
Wenliang Zhang
Let be a standard graded algebra over a field and be a homogeneous ideal of . We study the question whether there is a constant such that $\Soc(H^{j}_{\fm}(R/I^t…
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…