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Modules over rings of differential operators.

5 votes
0 answers
436 views

The minimal injective $R$-resolution of a $D$-module

The most general version of the question I want to ask is: Let $R$ be a regular (commutative, Noetherian) ring containing a field $k$ of characteristic $0$, let $D = D(R,k)$ be the ring of $k$-lin …
Nick Switala's user avatar
5 votes
1 answer
525 views

Most general "finiteness of de Rham cohomology" statement for holonomic $D$-modules in the a...

Let $X$ be a nonsingular algebraic variety over a field $k$ of characteristic zero. (We may assume $k$ algebraically closed if need be, but I want to avoid specifically demanding $k = \mathbb{C}$.) Le …
Nick Switala's user avatar