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Modules over rings of differential operators.
3
votes
Accepted
Remark 12.8.8 in Arinkin--Gaitsgory
The answers to your questions can be found in this article: https://arxiv.org/abs/1108.5351. I highly recommend reading it before trying to understand Arinkin-Gaitsgory.
Let me try to resolve your di …
3
votes
Accepted
Six functor formalism for quasi-coherent $D$-modules
They do not exist in general. The simplest example is maybe to take $X\rightarrow Y$ to be the closed embedding of the origin inside $\mathbb{A}^1.$ Then $f_*$ sends a vector space $V$ to the $\mathca …