Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals

Parangama Sarkar

In an analytically unramified local ring $(R,\mathfrak{m})$ of dimension $d\ge 1$, for a filtration of ideals $\mathfrak{I}=\{I_m{\}}_{m\in \mathbb{N}}$ satisfying $\mathfrak{A}(r)$ co…