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math.AC2021
Analytic Spread of Filtrations and Symbolic Algebras
Steven Dale Cutkosky, Parangama Sarkar
In this paper we define and explore the analytic spread of a filtration in a local ring. We show that, especially for divisorial and symbolic filtrations, some b…
math.AC2021
Multiplicities and Mixed Multiplicities of arbitrary Filtrations
Steven Dale Cutkosky, Parangama Sarkar
We develop a theory of multiplicities and mixed multiplicities of filtrations, extending the theory for filtrations of -primary ideals to arbitrary (not necessarily Noetherian)…