On some properties of the asymptotic Samuel function
Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring. This is an invariant related with algorithmic resolution of singularities of algebraic varieties. Among other results, we study its behavior after certain faithfully flat extensions.
Authors
- S. Encinas (ORCID: https://orcid.org/0000-0003-2404-6671)
- J. Guillán‐Rial
- A. Bravo (ORCID: https://orcid.org/0000-0002-2933-1132)
Institutions
- Universidad de Valladolid (ES)
- Centre de Recerca Matemàtica (ES)
- Institute of Mathematical Sciences (ES)
- Universidad Carlos III de Madrid (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2025-06-11
- DOI
- https://doi.org/10.1002/mana.12037
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Comunidad de Madrid
- Ministerio de Ciencia e Innovación
- Agencia Estatal de Investigación