Nash blow-ups of jet schemes
Algebraic Geometry
2020-01-29 v2
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.
Keywords
Cite
@article{arxiv.1712.00911,
title = {Nash blow-ups of jet schemes},
author = {Tommaso de Fernex and Roi Docampo},
journal= {arXiv preprint arXiv:1712.00911},
year = {2020}
}
Comments
Lemma 2.4 was incorrect and has been removed, and the proof of Lemma 2.1 has been adjusted; to appear in Ann. Inst. Fourier