35 citations · 55 across the 11 of their papers we have counts for
3 papers · 1 filter
Some natural properties of constructive resolution of singularities
Angélica Benito, Santiago Encinas, Orlando E. Villamayor U
These expository notes, addressed to non-experts, are intended to present some of Hironaka's ideas on his theorem of resolution of singularities. We focus particularly on those asp…
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…
Techniques for the study of singularities with applications to resolution of 2-dimensional schemes
Angélica Benito, Orlando E. Villamayor
We give an overview of invariants of algebraic singularities over perfect fields. We then show how they lead to a synthetic proof of embedded resolution of singularities of 2-dimen…