On the behavior of F-thresholds with respect to the fibers of blow-ups and F-rationality
Abstract
We establish a general inequality comparing the F -thresholds of a local ring and its associated graded ring. As an application, we deduce that the F -rationality of the graded ring descends to the local ring.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Rings
Modules
and Algebras
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 705
- Pages
- 1–14
- Publication date
- 12 May 2026
- Language
- EN