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Filtrations and Noetherian Symbolic Blow-Up Rings

Filtrations and Noetherian Symbolic Blow-Up Rings

For a one-dimensional prime ideal in a local Noetherian ring it is characterized when the symbolic blow-up ring is an algebra of finite type.More generally, for a filtration of ideals of a local Noetherian ring there is a necessary and sufficient condition for the corresponding Rees ring to be a …