38 citations · 45 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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…