The embedded Nash problem of birational models of rational triple singularities

preprint2020arXivOpen access

Abstract

We consider the question whether one can construct an embedded resolution of singularities of a singular variety X⊂AnX\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.

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