On the Poincaré series for a plane divisorial valuation
نویسنده
چکیده
We introduce the Poincaré series for a divisorial valuation v and prove that this series is an equivalent algebraic datum to the dual graph of v. We give an explicit computation of the Poincaré series.
منابع مشابه
A divisorial valuation with irrational volume
of an m-primary ideal a⊆ R. In fact, if qm = a for a fixed ideal a then it is evident that e(a)= vol(v). The volume of a valuation has implicitly been studied already in [4], but it was first explicitly defined in [5]. The terminology is intended to emphasize the relation with global invariants of linear series on projective varieties. A natural question is to what extent the properties of vol(...
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