2026-04-14T18:24:45Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/761842025-11-13T09:52:21Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

On some properties of the asymptotic Samuel function Encinas Carrión, Santiago Bravo, Ana Guillán Rial, Javier Asymptotic Samuel function Integral closure Producción Científica 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. 2025-07-02T08:58:16Z 2025-07-02T08:58:16Z 2025 info:eu-repo/semantics/article Mathematische Nachrichten, 2025, p. 1-23 0025-584X https://uvadoc.uva.es/handle/10324/76184 10.1002/mana.12037 1 23 Mathematische Nachrichten 1522-2616 eng https://onlinelibrary.wiley.com/doi/epdf/10.1002/mana.12037 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2025 The Author(s) Attribution-NonCommercial-NoDerivatives 4.0 Internacional Wiley-VCH SI