2026-04-27T22:00:39Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/588902023-03-08T14:37:09Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
The asymptotic Samuel function and invariants of singularities
Benito, Angélica
Bravo, Ana
Encinas Carrión, Santiago
Producción Científica
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.
2023-03-08
2023-03-08
2023
info:eu-repo/semantics/article
Revista Matemática Complutense, 2023.
1139-1138
https://uvadoc.uva.es/handle/10324/58890
10.1007/s13163-023-00457-2
Revista Matemática Complutense
1988-2807
eng
https://link.springer.com/article/10.1007/s13163-023-00457-2
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
© 2023 The Author(s)
Atribución 4.0 Internacional
Springer