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math.AC2018
Global Frobenius Betti numbers and F-splitting ratio
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
We extend the notion of Frobenius Betti numbers and F-splitting ratio to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be…
math.AC2018
Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals
Thomas Polstra, Pham Hung Quy
The study of Frobenius actions on local cohomology modules over a local ring of prime characteristic has interesting connections with the theory of tight closure. This paper establ…