41 citations · 191 across the 44 of their papers we have counts for
5 papers · 1 filter
-module and -module length of local cohomology modules
Mordechai Katzman, Linquan Ma, Ilya Smirnov +1
Let be a polynomial or power series ring over a field . We study the length of local cohomology modules in the category of -modules and -modules. We show th…
Lech's conjecture in dimension three
Linquan Ma
Let be a flat local extension of local rings. Lech conjectured in 1960 that there should be a general inequality on the Hilbert-Samuel multipliciti…
-singularities under generic linkage
Linquan Ma, Janet Page, Rebecca R. G. +2
Let be a polynomial ring over a prefect field of positive characteristic. Let be an unmixed ideal in and let be a generic link of in $S=R[u_{ij…
Frobenius actions on local cohomology modules and deformation
Linquan Ma, Pham Hung Quy
Let be a Noetherian local ring of characteristic . We introduce and study -full and -anti-nilpotent singularities, both are defined in terms of the Frobenius act…
Local cohomology of Du Bois singularities and applications to families
Linquan Ma, Karl Schwede, Kazuma Shimomoto
In this paper we study the local cohomology modules of Du Bois singularities. Let be a local ring, we prove that if is Du Bois, then …