Peter M. McDonald

collaborators

3 papers

math.AG2023

Multiplier ideals and klt singularities via (derived) splittings

Peter M. McDonald

Let $X$ be a normal, excellent, noetherian scheme over $Spec Q$ with a dualizing complex. In this note, we find an alternate characterization of the multipli…

math.AC2016

Completely Controlling the Dimensions of Formal Fiber Rings at Prime Ideals of Small Height

Sarah M. Fleming, Lena Ji, S. Loepp +3

Let $T$ be a complete equicharacteristic local (Noetherian) UFD of dimension $3$ or greater. Assuming that $∣ T ∣ = ∣ T / m ∣$ , where $m$ is the maximal ideal of $T$ , we construct a loca…

math.AC2016

Controlling the Dimensions of Formal Fibers of a Unique Factorization Domain at the Height One Prime Ideals

Sarah M. Fleming, Lena Ji, S. Loepp +3

Let T be a complete local (Noetherian) equidimensional ring with maximal ideal m such that the Krull dimension of T is at least two and the depth of T is at least two. Suppose that…