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<dc:creator>Encinas Carrión, Santiago</dc:creator>
<dc:creator>Bravo, Ana</dc:creator>
<dc:creator>Guillán Rial, Javier</dc:creator>
<dc:date>2025</dc:date>
<dc:description>Producción Científica</dc:description>
<dc:description>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.</dc:description>
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<dc:language>eng</dc:language>
<dc:publisher>Wiley-VCH</dc:publisher>
<dc:subject>Asymptotic Samuel function</dc:subject>
<dc:subject>Integral closure</dc:subject>
<dc:title>On some properties of the asymptotic Samuel function</dc:title>
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