2 papers
math.NT2026
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…
math.AC2026
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…