Gardado en:
| Main Authors: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Subjects: | |
| Acceso en liña: | https://arxiv.org/abs/2504.18656 |
| Tags: |
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Table of Contents:
- 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 $p \to \infty$. In particular, we show it is a piecewise polynomial function, and relate it to the normalized volume.