I am learning about $D$-module theory and came across a theorem that says that coherent equivariant $D$-modules whose support has finitely many orbits are automatically regular holonomic. Are there examples where the converse statement is false?

  • $\begingroup$ D-modules make sense on spaces that have no group action, so this question doesn't make much sense. Take, for example, the $\mathcal D$-module $\mathcal O_{\mathbb A^1}$, and use the trivial group action on ${\mathbb A^1}$. $\endgroup$ – Allen Knutson Apr 27 '16 at 17:17

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.