Peter M. McDonald

collaborators

2 papers

math.AC2026

The BrianÃ§on-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings

Linquan Ma, Peter M. McDonald, Rebecca R. G. +1

Suppose $J = (f_{1}, \dots, f_{n})$ is an $n$ -generated ideal in any ring $R$ . We prove a general BrianÃ§on-Skoda-type containment relating the integral closure $J^{n + k - 1}$ …

math.AC2026

Closure operations induced via resolutions of singularities in characteristic zero

Neil Epstein, Peter M. McDonald, Rebecca R. G. +1

Using the fact that the structure sheaf of a resolution of singularities, or regular alteration, pushes forward to a Cohen-Macaulay complex in equal characteristic zero with a diff…