27 citations · 66 across the 21 of their papers we have counts for
21 papers
The asymptotic Samuel functions and applications to resolution of singularities techniques
A. Benito, A. Bravo, S. Encinas
We use the asymptotic Samuel function to define the Samuel slope of a Noetherian local ring, and we prove that it characterizes regularity in the case of local excellent rings. In…
On some properties of the asymptotic Samuel function
A. Bravo, S. Encinas, J. Guillán-Rial
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,…
Sequences of point blow-ups over perfect fields from a combinatorial point of view
Daniel Camazón, Santiago Encinas
We associate a combinatorial object to sequences of point blow-ups over perfect fields, the weighted directed graph, and another one to the composition of all blow-ups, which we ca…
The asymptotic Samuel function and invariants of singularities
A. Benito, A. Bravo, S. Encinas
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 S…
Finite morphisms and Nash multiplicity sequences
A. Bravo, S. Encinas
We study finite morphisms of varieties and the link between their top multiplicity loci under certain assumptions. More precisely, we focus on how to determine that link in terms o…
Contact loci and Hironaka's order
A. Bravo, S. Encinas, B. Pascual-Escudero
We study contact loci sets of arcs and the behavior of Hironaka's order function defined in constructive Resolution of singularities. We show that this function can be read in term…