1 citations · 1 across the 5 of their papers we have counts for
8 papers
Arithmetic partial differential operators on ramified extensions of $\ZZ_p$
Marshall Donn, Lance Edward Miller, William D. Taylor
The notion of -derivation as introduced by Buium has a rich history of applications in arithmetic geometry. Working over $\ZZ_p$, Buium-Ralph-Simanca showed that arithmetic diff…
New versions of Frobenius and integral closure of ideals
Kriti Goel, Kyle Maddox, William D. Taylor
In this article, we define three new operations on ideals which generalize integral closure and Frobenius closure of ideals, whose definitions incorporate an auxiliary ideal and a…
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…
Fundamental Results on -Closures
William D. Taylor
This paper establishes the fundamental properties of the -closures, a recently introduced family of closure operations on ideals of rings of positive characteristic. The behavio…
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 \…