Globalizing F-invariants

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.

References in corpus (1)

• Generalizing Serre's Splitting Theorem and Bass's Cancellation Theorem via free-basic elements