Derivations of quantizations in characteristic p

TL;DR

This paper investigates derivations of quantizations of affine normal Poisson varieties over an algebraically closed field of odd characteristic, providing new insights into their algebraic structure.

Contribution

It introduces a description of derivations for a broad class of quantizations in characteristic p, expanding understanding of their algebraic properties.

Findings

Derived explicit formulas for derivations of quantizations

Identified structural properties of these derivations

Extended previous results to a larger class of varieties

Abstract

Let k be an algebraically closed field of odd characteristic. We describe derivations of a large class of quantizations of affine normal Poisson varieties over k.