Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Representation Theory (math.RT)
journal:
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date:
2023-10-08 16:00:00
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.PDF: Twisting the Infinitesimal Site.pdf
