仿射Duflo定理Ⅰ：扭微分算子
Towards affinoid Duflo Theorem I: Twisted differential operators
摘要：
对于交换环$R$，在光滑、分离、局部有限型$R$ -概型上定义了变形Picard代数胚和变形扭曲微分算子的概念，并证明了它们是自然双射.然后，我们定义了拉回的扭曲的微分算子，减少到经典的定义时，$R=\mathbb{C}$层。最后，对于扭微分算子上的模，我们证明了一个在局部平凡扭子下的下降定理。
英文摘要：
For a commutative ring $R$, we define the notions of deformed Picard algebroids and deformed twisted differential operators on a smooth, separated, locally of finite type $R$-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 $R=\mathbb{C}$. Finally, for modules over twisted differential operators, we prove a theorem for the descent under a locally trivial torsor.
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