31 citations · 68 across the 17 of their papers we have counts for
3 papers · 2 filters
Generalizing Serre's Splitting Theorem and Bass's Cancellation Theorem via free-basic elements
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
We give new proofs of two results of Stafford, which generalize two famous Theorems of Serre and Bass regarding projective modules. Our techniques are inspired by the theory of bas…
Globalizing F-invariants
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
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…
F-signature and Hilbert-Kunz Multipicity: a combined approach and comparison
Thomas Polstra, Kevin Tucker
We present a unified approach to the study of Hilbert-Kunz multiplicity, F-signature, and related limits governed by Frobenius and Cartier linear actions in positive characteristic…