Nash blow-ups of jet schemes

Autor: de Fernex, Tommaso, Docampo, Roi
Rok vydání: 2017
Předmět:
Zdroj: Ann. Inst. Fourier (Grenoble) 69 (2019), no. 6, 2577-2588
Druh dokumentu: Working Paper
DOI: 10.5802/aif.3302
Popis: 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.
Comment: 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
Databáze: arXiv