38 citations · 45 across the 9 of their papers we have counts for
10 papers
Finiteness of Leaps in the sense of Hasse-Schmidt of reduced rings
A. Bravo, María de la Paz Tirado Hernández
We give sufficent conditions for a derivation of a -algebra of finite type to be -integrable in the sense of Hasse-Schmidt, when is a complete intersection, or w…
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,…
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…
Finite morphisms and simultaneous reduction of the multiplicity
Carlos Abad, Ana Bravo, Orlando E. Villamayor
Let be a singular algebraic variety defined over a field , with quotient field . Let be the highest multiplicity of and the set of points of mu…
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…
On Rees algebras and invariants for singularities over perfect fields
A. Bravo, M. L. García-Escamilla, O. E. Villamayor U.
The purpose of this paper is to show how Rees algebras can be applied in the study of singularities embedded in smooth schemes over perfect fields. In particular, we will study sit…
Singularities in positive characteristic, stratification and simplification of the singular locus
Ana Bravo, Orlando Villamayor
We introduce an upper semi-continuous function that stratifies the highest multiplicity locus of a hypersurface in arbitrary characteristic (over a perfect field). The blow-up alon…
A Simplified Proof of Desingularization and Applications
A. Bravo, S. Encinas, O. Villamayor
This paper contains a short and simplified proof of desingularization over fields of characteristic zero, together with various applications to other problems in algebraic geometry…