Linquan Ma

activity

20182026

most citedPerfectoid pure singularities

1 citations · 2 across the 10 of their papers we have counts for

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4 papers · 1 filter

math.AG2025

Lech-Mumford constant and stability of local rings

Linquan Ma, Ilya Smirnov

We study further Mumford's notion of local semistability and, in particular, show that semistable singularities are log canonical under mild assumptions. We provide many new exampl…

math.AG2024★ 1 cited

Perfectoid pure singularities

Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4

Fix a prime number $p$ . Inspired by the notion of $F$ -pure or $F$ -split singularities, we study the condition that a Noetherian ring with $p$ in its Jacobson radical is pure inside…

math.AG2024★ 1 cited

Test ideals in mixed characteristic: a unified theory up to perturbation

Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +5

Let $X$ be an integral scheme of finite type over a complete DVR of mixed characteristic. We provide a definition of a test ideal which agrees with the multiplier ideal after inver…

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,…

Lech-Mumford constant and stability of local rings

Perfectoid pure singularities

Test ideals in mixed characteristic: a unified theory up to perturbation

F-signature under birational morphisms

$F$ -signature under birational morphisms