38 citations · 93 across the 9 of their papers we have counts for
10 papers
Multiplicity along points of a radicial covering of a regular variety
Diego Sulca, Orlando E. U. Villamayor
We study the maximal multiplicity locus of a variety over a field of characteristic that is provided with a finite surjective radical morphism , where $…
On elimination of variables in the study of singularities in positive characteristic
Angélica Benito, Orlando E. Villamayor
The objective of this paper is to discuss invariants of singularities of algebraic schemes over fields of positive characteristic, and to show how they yield the simplification of…
Monoidal transformations of singularities in positive characteristic
Angélica Benito, Orlando Villamayor
A sequence of monoidal transformations is defined, in terms of invariants, for a singular hypersurface embedded in a smooth scheme of positive characteristic. Some examples are add…
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…
Elimination with applications to singularities in positive characteristic
Orlando Villamayor
We present an application of elimination theory to the study of singularities over arbitrary fields, particularly to the open problem of resolution. A partial extension of a functi…
Rees algebras and resolution of singularities
Santiago Encinas, Orlando Villamayor
Embedded principalization of ideals in smooth schemes, also known as Log-resolutions of ideals, play a central role in algebraic geometry. If two sheaves of ideals, say and $…