RT info:eu-repo/semantics/article
T1 The asymptotic Samuel function and invariants of singularities
A1 Benito, Angélica
A1 Bravo, Ana
A1 Encinas Carrión, Santiago
K1 Singularities
K1 Rees algebras
K1 Integral closure
K1 Asymptotic Samuel function
K1 12 Matemáticas
AB The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. In this paper, we use this function to introduce the notion of the Samuel slope of a Noetherian local ring, and we study some of its properties. In particular, we focus on the case of a local ring at singular point of a variety, and, among other results, we prove that the Samuel slope of these rings is related to some invariants used in algorithmic resolution of singularities.
PB Springer
SN 1139-1138
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/58890
UL https://uvadoc.uva.es/handle/10324/58890
LA eng
NO Revista Matemática Complutense, 2023.
NO Producción Científica
DS UVaDOC
RD 28-may-2024