In analytically unramified local rings, epsilon multiplicity is invariant under colon with m-primary ideals, producing a multiplicity-volume formula for ideals and bounds on analytic spread of filtrations.
Swanson, Powers of ideals, primary decompositions, Artin-Rees lemma and regularity, Math
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Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals
In analytically unramified local rings, epsilon multiplicity is invariant under colon with m-primary ideals, producing a multiplicity-volume formula for ideals and bounds on analytic spread of filtrations.