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math.AC2024
Strong -regularity and the Uniform Symbolic Topology Property
Thomas Polstra
We investigate the containment problem of symbolic and ordinary powers of ideals in a commutative Noetherian domain . Let be a normal domain of prime characteristic th…
math.AC2024
Zariski-Nagata Theorems for Singularities and the Uniform Izumi-Rees Property
Thomas Polstra
We introduce and explore the Uniform Izumi-Rees Property in Noetherian rings with applications to multiplicity theory and containment relationships among symbolic powers of ideals.…