English

The embedded Nash problem of birational models of rational triple singularities

Algebraic Geometry 2020-06-02 v1

Abstract

We consider the question whether one can construct an embedded resolution of singularities of a singular variety XAnX\subset \textbf{A}^n from the data of the irreducible components of the spaces of jets (of XX) centered at the singular locus of X.X. We show that the answer is no in general and that it is yes for some birational models of rational triple surface singularities.

Keywords

Cite

@article{arxiv.2006.00329,
  title  = {The embedded Nash problem of birational models of rational triple singularities},
  author = {Buşra Karadeniz and Hussein Mourtada and Camille Plénat and Meral Tosun},
  journal= {arXiv preprint arXiv:2006.00329},
  year   = {2020}
}