2026-05-05T21:50:15Zhttps://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
Singularities
Rees algebras
Integral closure
Asymptotic Samuel function
12 Matemáticas
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.
Ministerio de Ciencia, Innovación y Universidades (PGC2018-095392-B-I00)
Ministerio de Economía y Competitividad, a través del Programa “Severo Ochoa” para Centros de Excelencia en I+D+i (SEV-2015-0554)
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE
2023-03-08T13:01:36Z
2023-03-08T13:01:36Z
2023
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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
Atribución 4.0 Internacional
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
© 2023 The Author(s)
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Springer
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Hispana
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http://creativecommons.org/licenses/by/4.0/
UVaDOC. Repositorio Documental de la Universidad de Valladolid
https://uvadoc.uva.es/handle/10324/58890