RT info:eu-repo/semantics/article
T1 On some properties of the asymptotic Samuel function
A1 Encinas Carrión, Santiago
A1 Bravo, Ana
A1 Guillán Rial, Javier
K1 Asymptotic Samuel function
K1 Integral closure
AB 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.
PB Wiley-VCH
SN 0025-584X
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/76184
UL https://uvadoc.uva.es/handle/10324/76184
LA eng
NO Mathematische Nachrichten, 2025, p. 1-23
NO Producción Científica
DS UVaDOC
RD 26-jul-2025