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Twisting the Infinitesimal Site
- Publication Year :
- 2023
-
Abstract
- We classify twistings of Grothendieck's differential operators on a smooth variety $X$ in prime characteristic $p$. We prove isomorphism classes of twistings are in bijection with $H^2(X,\mathbb{Z}_p(1))$, the degree 2, weight 1 syntomic cohomology of $X$. We also discuss the relationship between twistings of crystalline and Grothendieck differential operators. Twistings in mixed characteristic are also analyzed.<br />Comment: 21 pages. Final version, to appear in IMRN. Comments welcome
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2310.06029
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1093/imrn/rnae186