Globalizing F-invariants

2016/08/30 by De Stefani, Alessandro, Polstra, Thomas, Yao, Yongwei
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.08580

Abstract

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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