Limit F -signature functions of two-variable binomial hypersurfaces
Abstract
Abstract The F -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong F -regularity, an important class of singularities related to KLT singularities in characteristic zero. In this article, we compute the limiting F -signature function of binomial and other related hypersurfaces in two variables as the characteristic $p \to \infty $ . In particular, we show it is a piecewise polynomial function, and relate it to the normalized volume.
Fields of Study & Subjects
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Holomorphic and Operator Theory
Publication details
- Journal / source
- Nagoya Mathematical Journal
- Publisher
- Cambridge University Press (CUP)
- Volume
- 261
- Publication date
- 1 January 2026
- Language
- EN