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arXiv · 1703.07505

Differentials on the arc space

Tommaso de Fernex·Roi Docampo
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Abstract

The paper provides a description of the sheaves of K\"ahler 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. 2017-03-22. Differentials on the arc space. https://doi.org/10.1215/00127094-2019-0043

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