Differentials on the arc space
Algebraic Geometry
2020-02-12 v3
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.
Keywords
Cite
@article{arxiv.1703.07505,
title = {Differentials on the arc space},
author = {Tommaso de Fernex and Roi Docampo},
journal= {arXiv preprint arXiv:1703.07505},
year = {2020}
}
Comments
30 pages; v3: substantial changes especially in Sections 8, 10, and 11; main results remain unchanged; several edits and additions throughout the paper aimed to improve the exposition; to appear in Duke Math. J