Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic $p$

Dmitry Kubrak, Roman Travkin

For a smooth variety $X$ over an algebraically closed field of characteristic $p$, to a differential 1-form $\alpha$ on the Frobenius twist $X^{(1)}$ one can associate an Azumaya algebr…