Differentials on the arc space
arXiv:1703.07505 · doi:10.1215/00127094-2019-0043
Abstract
The paper provides 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.
arXiv comment30 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
References in corpus (7)
- Germs of arcs on singular algebraic varieties and motivic integration
- Jet Schemes of Locally Complete Intersection Canonical Singularities
- Jet schemes, log discrepancies and Inversion of Adjunction
- Terminal valuations and the Nash problem
- Jacobian discrepancies and rational singularities
- Singularities with respect to Mather-Jacobian discrepancies
- Nash blow-ups of jet schemes