2 Minimal Hilbert - Kunz Multiplicity
نویسندگان
چکیده
In this paper, we ask the following question: what is the minimal value of the difference e HK (I) − e HK (I ′) for ideals I ′ ⊇ I with l A (I ′ /I) = 1? In order to answer to this question, we define the notion of minimal Hilbert-Kunz multiplicity for strongly F-regular rings. Moreover, we calculate this invariant for quotient singularities and for the coordinate ring of the Segre embedding: P r−1 × P s−1 ֒→ P rs−1 , respectively.
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تاریخ انتشار 2003