no. 6
Nash blow-ups of jet schemes
[Éclatements de Nash des espaces de jets]
de Fernex, Tommaso1 ; Docampo, Roi2
1 Department of Mathematics University of Utah 155 South 1400 East Salt Lake City, UT 48112 (USA)
2 Department of Mathematics University of Oklahoma 601 Elm Avenue, Room 423 Norman, OK 73019 (USA)
Annales de l'Institut Fourier, Tome 69 (2019) no. 6, pp. 2577-2588.

Étant donné un morphisme birationnel projectif de variétés nous fournissons une manière explicite et naturelle de construire des compactifications relatives des applications induites sur les composantes principales des espaces de jets. Dans le cas où le morphisme est l’éclatement de Nash d’une variété, nous montrons que ces compactifications relatives sont données par les éclatements de Nash des composantes principales des espaces de jets.

Given an arbitrary projective birational morphism of varieties, we provide a natural and explicit way of constructing relative compactifications of the maps induced on the main components of the jet schemes. In the case the morphism is the Nash blow-up of a variety, such relative compactifications are shown to be given by the Nash blow-ups of the main components of the jet schemes.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/aif.3302
Classification : 14E18, 14E04, 14B05
Keywords: Jet scheme, Nash blow-up, singularities, Grassmannian, functor of points
Mots-clés : Espace de jets, éclatement de Nash, singularités, Grassmanienne, foncteur de points

de Fernex, Tommaso 1 ; Docampo, Roi 2

1 Department of Mathematics University of Utah 155 South 1400 East Salt Lake City, UT 48112 (USA)
2 Department of Mathematics University of Oklahoma 601 Elm Avenue, Room 423 Norman, OK 73019 (USA)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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de Fernex, Tommaso; Docampo, Roi. Nash blow-ups of jet schemes. Annales de l'Institut Fourier, Tome 69 (2019) no. 6, pp. 2577-2588. doi : 10.5802/aif.3302. https://aif.centre-mersenne.org/articles/10.5802/aif.3302/

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