The embedded Nash problem of birational models of rational triple singularities

B. Karadeniz , H. Mourtada (1) , C. Plénat (2) , M. Tosun (3)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche
2 I2M - Institut de Mathématiques de Marseille
3 GSU - Galatasaray Universitesi

We consider the question whether one can construct an embedded resolution of singularities of a singular variety X⊂An from the data of the irreducible components of the spaces of jets (of X) centered at the singular locus of X. We show that the answer is no in general and that it is yes for some birational models of rational triple surface singularities.

Mots clés: Jets schemes; Embedded resolutions

Domaines: Géométrie algébrique [math.AG]

B. Karadeniz, H. Mourtada, C. Plénat, M. Tosun. The embedded Nash problem of birational models of rational triple singularities. Journal of Singularities, 2021, Proc. of 15th International Workshop on Singularities, S~ao Carlos, 2018, 22 (2020), pp.337-372. ⟨10.5427/jsing.2020.22u⟩. ⟨hal-03346829⟩