Definition 10.59.6. Let R be a Noetherian local ring. Let M be a finite R-module. The Hilbert polynomial of M over R is the element P(t) \in \mathbf{Q}[t] such that P(n) = \varphi _ M(n) for n \gg 0.
Definition 10.59.6. Let R be a Noetherian local ring. Let M be a finite R-module. The Hilbert polynomial of M over R is the element P(t) \in \mathbf{Q}[t] such that P(n) = \varphi _ M(n) for n \gg 0.
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