A divisorial valuation with irrational volume
نویسندگان
چکیده
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(v) mirror those of the Samuel multiplicity. Results of [5,9] assert that
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تاریخ انتشار 2002