1 citations · 1 across the 6 of their papers we have counts for
6 papers
Notes on Nash modification
A. Nobile
The Nash blowing-up (or modification) of an algebraic variety is a canonical process that produces a proper, birational morphism of varieties. It is expected that…
On the Nash problem for surfaces in positive characteristic
Augusto Nobile
This paper seeks to prove the bijectivity of the "Nash mapping" from the set of irreducible components of the scheme parametrizing analytic arcs on an algebraic surface whose o…
Resolution Algorithms and Deformations
Augusto Nobile
An algorithm for resolution of singularities in characteristic zero is described. It is expressed in terms of multi-ideals, that essentially are defined as a finite sequence of pai…
Algorithmic equiresolution of possibly non-reduced families of singularities
Augusto Nobile
This paper studies the concept of algorithmic equiresolution of a family of embedded varieties or ideals, which means a simultaneous resolution of such a family compatible with a g…
Algorithmic equiresolution of deformations of embedded varieties
Augusto Nobile
A theory of simultaneous resolution of singularities for families of embedded varieties (over a field of characteristic zero) parametrized by the spectrum of a suitable artinian ri…
On Algorithmic Equiresolution and Stratification of Hilbert Schemes
S. Encinas, A. Nobile, O. Villamayor
Given an algorithm of resolution of singularities satisfying certain conditions (``good algorithms''), natural notions of simultaneous algorithmic resolution, or equiresolution, fo…