27 citations · 66 across the 21 of their papers we have counts for
18 papers · 1 filter
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…
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…
Nash multiplicity sequences and Hironaka's order function
A. Bravo, S. Encinas, B. Pascual-Escudero
When is a -dimensional variety defined over a field of characteristic zero, a constructive resolution of singularities can be achieved by successively lowering the maxim…
Nash multiplicities and resolution invariants
A. Bravo, S. Encinas, B. Pascual-Escudero
The Nash multiplicity sequence was defined by M. Lejeune-Jalabert as a non-increasing sequence of integers attached to a germ of a curve inside a germ of a hypersurface. M. Hickel…
A procedure for computing the log canonical threshold of a binomial ideal
Rocío Blanco, Santiago Encinas
We present a procedure for computing the log-canonical threshold of an arbitrary ideal generated by binomials and monomials. The computation of the log canonical threshold is reduc…