41 citations · 191 across the 44 of their papers we have counts for
7 papers · 1 filter
Symbolic power containments in singular rings in positive characteristic
Eloísa Grifo, Linquan Ma, Karl Schwede
The containment problem for symbolic and ordinary powers of ideals asks for what values of and we have . Over a regular ring, a result by Ein-Lazarsf…
An analog of adjoint ideals and PLT singularities in mixed characteristic
Linquan Ma, Karl Schwede, Kevin Tucker +2
We use the framework of perfectoid big Cohen-Macaulay algebras to define a class of singularities for pairs in mixed characteristic, which we call purely BCM-regular singularities,…
Covers of rational double points in mixed characteristic
Javier Carvajal-Rojas, Linquan Ma, Thomas Polstra +2
We further the classification of rational surface singularities. Suppose is a strictly Henselian regular local ring of mixed characteristic $(0, p…
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 -primary ideal in a Noetherian local ring .…
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 , if is an ideal generated by a filter-regular sequence an…
Colength, multiplicity, and ideal closure operations
Linquan Ma, Pham Hung Quy, Ilya Smirnov
In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then is regular. We deduce this using the relationship betwee…
Regularity, singularities and -vector of graded algebras
Hailong Dao, Linquan Ma, Matteo Varbaro
Let be a standard graded algebra over a field. We investigate how the singularities of affect its -vector, which is the coefficients of the numerator of its Hilbert seri…