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On some properties of the asymptotic Samuel function

Year: 2025
Type: article
Abstract: 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.
DOI: 10.1002/mana.12037
Institutions: Consejo Superior de Investigaciones Científicas, Institute of Mathematical Sciences, Universidad Carlos III de Madrid, Universidad Autónoma de Madrid, Universidad de Valladolid, Centre de Recerca Matemàtica
Language: English
Open Access status: hybrid
Estimated APC paid: $3,460
Funders: Comunidad de Madrid, Centres de Recerca de Catalunya, Generalitat de Catalunya, Ministerio de Ciencia e Innovación, European Regional Development Fund, Agencia Estatal de Investigación
Awards: G1186134865, G121809054, G1622782223, G1701110065, G2262748287, G2660406951, G279363373, G2967504892, G3480869486, G391183672, G4233400527, G425668148, G4264975449, G5845768719, G6307970414, G6325762137, G7084143925, G7476827183, G84477964, G8920660035
OpenAlex ID: W4411237561
FWCI:
Cites: 34
Cited by:
Related to: 10