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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…
math.AC2018
Notes on the Frobenius test exponents
Duong Thi Huong, Pham Hung Quy
In this paper we show that the Frobenius test exponent for parameter ideals of a local ring of prime characteristic is always bigger than or equal to its Hartshorne-Speiser-Lyubezn…