20 citations · 33 across the 17 of their papers we have counts for
10 papers · 1 filter
Differentially fixed ideals in toric varieties
Lance Edward Miller, William D. Taylor, Janet Vassilev
This article concerns monomial ideals fixed by differential operators of affine semi-group rings over . We give a complete characterization of when this happens. Perhap…
Generalized -depth and graded nilpotent singularities
Kyle Maddox, Lance Edward Miller
We address explicit constructions of new variants of -nilpotent singularities. In particular, we explore how (generalized) weakly -nilpotent singularities behave under gluing…
Singularities of Rees-like Algebras
Paolo Mantero, Jason McCullough, Lance Edward Miller
Recently, Peeva and the second author constructed irreducible projective varieties with regularity much larger than their degree, yielding counterexamples to the Eisenbud-Goto Conj…
On Lower Bounds for -multiplicities
Lance Edward Miller, William D. Taylor
A recent continuous family of multiplicity functions on local rings was introduced by Taylor interpolating between Hilbert-Samuel and Hilbert-Kunz multiplicities. The obvious goal…
The s-multiplicity function of 2x2-determinantal rings
Lance Edward Miller, William D. Taylor
This article generalizes joint work of the first author and I. Swanson to the -multiplicity recently introduced by the second author. For a field and a $m \…
Witt differentials in the h-topology
Veronika Ertl, Lance Edward Miller
Recent important and powerful frameworks for the study of differential forms by Huber-Joerder and Huber-Kebekus-Kelly based on Voevodsky's h-topology have greatly simplified and un…