Towards affinoid Duflo Theorem I: Twisted differential operators
arXiv:2103.16883 · doi:10.1017/S0305004121000281
Abstract
For a commutative ring , we define the notions of deformed Picard algebroids and deformed twisted differential operators on a smooth, separated, locally of finite type -scheme and prove these are in a natural bijection. We then define the pullback of a sheaf of twisted differential operators that reduces to the classical definition when . Finally, for modules over twisted differential operators, we prove a theorem for the descent under a locally trivial torsor.