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arxiv: 1608.08580 · v1 · pith:SJKTMPJLnew · submitted 2016-08-30 · 🧮 math.AC

Globalizing F-invariants

classification 🧮 math.AC
keywords f-signatureglobalhilbert-kunzmultiplicitycasecharacteristicdefineextending
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In this paper we define and study the global Hilbert-Kunz multiplicity and the global F-signature of prime characteristic rings which are not necessarily local. Our techniques are made meaningful by extending many known theorems about Hilbert-Kunz multiplicity and F-signature to the non-local case.

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