Multiplicities and degree functions of graded families of ideals are expressed as limits of intersection products, with a closed formula for Q-divisorial filtrations in dimension 2.
Artin, On the solutions of analytic equations, Invent
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Degree functions of graded families of ideals
Multiplicities and degree functions of graded families of ideals are expressed as limits of intersection products, with a closed formula for Q-divisorial filtrations in dimension 2.