Affiliation:
1. Department of Mathematics , University of Wisconsin–Madison, Madison, WI 53706, USA
Abstract
Abstract
We classify twistings of Grothendieck’s differential operators on a smooth variety $X$ in prime characteristic $p$. We prove that 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.
Funder
National Science Foundation Graduate Research Fellowship
Publisher
Oxford University Press (OUP)