Differentials on the arc space

Tommaso de Fernex; Roi Docampo

doi:10.1215/00127094-2019-0043

Abstract

We provide a description of the sheaves of Kähler differentials of the arc space and jet schemes of an arbitrary scheme where these sheaves are computed directly from the sheaf of differentials of the given scheme. Several applications on the structure of arc spaces are presented.

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Tommaso de Fernex. Roi Docampo. "Differentials on the arc space." Duke Math. J. 169 (2) 353 - 396, 1 February 2020. https://doi.org/10.1215/00127094-2019-0043

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Received: 28 September 2017; Revised: 8 May 2019; Published: 1 February 2020

First available in Project Euclid: 29 January 2020

zbMATH: 07180379

MathSciNet: MR4057146

Digital Object Identifier: 10.1215/00127094-2019-0043

Subjects:

Primary: 14E18

Secondary: 13H99 , 13N05

Keywords: arc spaces , embedding dimension , jet schemes , Kähler differentials

Abstract

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