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arXiv · 1712.00911

Nash blow-ups of jet schemes

Tommaso de Fernex·Roi Docampo
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Abstract

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.

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Tommaso de Fernex, Roi Docampo. 2019-01-24. Nash blow-ups of jet schemes. https://doi.org/10.5802/aif.3302

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