2025/04/25 by Anna Brosowsky, Brosowsky, Anna, İzzet Coşkun +4 · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Polynomial and algebraic computation #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2504.18656
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 paper, we compute the limiting F-signature function of binomial and other related hypersurfaces in two variables as the characteristic p → ∞. In particular, we show it is a piecewise polynomial function, and relate it to the normalized volume.