102 citations · 410 across the 32 of their papers we have counts for
4 papers · 1 filter
The theory of F-rational signature
Ilya Smirnov, Kevin Tucker
F-signature is an important numeric invariant of singularities in positive characteristic that can be used to detect strong F-regularity. One would like to have a variant that rath…
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,…
On some permanence properties of (derived) splinters
Rankeya Datta, Kevin Tucker
We show that Noetherian splinters ascend under essentially étale homomorphisms. Along the way, we also prove that the henselization of a Noetherian local splinter is always a splin…
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…