Linquan Ma

activity

20122026

most citedPerfectoid multiplier/test ideals in regular rings and bounds on symbolic powers

41 citations · 191 across the 44 of their papers we have counts for

collaborators

Showing 2016 · math.ACShow all

4 papers · 2 filters

math.AC2016

$D$ -module and $F$ -module length of local cohomology modules

Mordechai Katzman, Linquan Ma, Ilya Smirnov +1

Let $R$ be a polynomial or power series ring over a field $k$ . We study the length of local cohomology modules $H_{I}^{j} (R)$ in the category of $D$ -modules and $F$ -modules. We show th…

math.AC2016

Lech's conjecture in dimension three

Linquan Ma

Let $(R, m) \to (S, n)$ be a flat local extension of local rings. Lech conjectured in 1960 that there should be a general inequality $e (R) \leq e (S)$ on the Hilbert-Samuel multipliciti…

math.AC2016★ 1 cited

$F$ -singularities under generic linkage

Linquan Ma, Janet Page, Rebecca R. G. +2

Let $R = k [x_{1}, \dots, x_{n}]$ be a polynomial ring over a prefect field of positive characteristic. Let $I$ be an unmixed ideal in $R$ and let $J$ be a generic link of $I$ in $S=R[u_{ij…

math.AC2016★ 2 cited

Frobenius actions on local cohomology modules and deformation

Linquan Ma, Pham Hung Quy

Let $(R, m)$ be a Noetherian local ring of characteristic $p > 0$ . We introduce and study $F$ -full and $F$ -anti-nilpotent singularities, both are defined in terms of the Frobenius act…

D-module and F-module length of local cohomology modules

Lech's conjecture in dimension three

F-singularities under generic linkage

Frobenius actions on local cohomology modules and deformation

$D$ -module and $F$ -module length of local cohomology modules

$F$ -singularities under generic linkage