Linquan Ma

activity

20182021

collaborators

11 papers

math.AC2021

Maximal Cohen-Macaulay complexes and their uses: A partial survey

Srikanth B. Iyengar, Linquan Ma, Karl Schwede +1

This work introduces a notion of complexes of maximal depth, and maximal Cohen-Macaulay complexes, over a commutative noetherian local ring. The existence of such complexes is clos…

math.AC2020

Koszul and local cohomology, and a question of Dutta

Linquan Ma, Anurag K. Singh, Uli Walther

For a local ring $(A, m)$ of dimension $n$ , we study the natural map from the Koszul cohomology module $H^{n} (m; A)$ to the local cohomology module $H^n_\mathfra…

math.AC2019

Asymptotic Lech's inequality

Craig Huneke, Linquan Ma, Pham Hung Quy +1

We explore the classical Lech's inequality relating the Hilbert--Samuel multiplicity and colength of an $m$ -primary ideal in a Noetherian local ring $(R, m)$ .…

math.AC2019

Filter regular sequence under small perturbations

Linquan Ma, Pham Hung Quy, Ilya Smirnov

We answer affirmatively a question of Srinivas--Trivedi: in a Noetherian local ring $(R, m)$ , if $I = (f_{1}, \dots, f_{r})$ is an ideal generated by a filter-regular sequence an…

math.AC2018

A Kunz-type characterization of regular rings via alterations

Linquan Ma, Karl Schwede

We prove that a local domain $R$ , essentially of finite type over a field, is regular if and only if for every regular alteration $π : X \to S p ec R$ , we have that $R π_* \mathcal{O}…

math.AG2018

$F$ -signature under birational morphisms

Linquan Ma, Thomas Polstra, Karl Schwede +1

We study $F$ -signature under proper birational morphisms $π : Y \to X$ , showing that $F$ -signature strictly increases for small morphisms or if $K_{Y} \geq π^{*} K_{X}$ . In certain cases,…