Let $D=k[x_1,\ldots, x_n, \partial_1, \ldots, \partial_n]$ be the Weyl algebra with $k$ a field of characteristic zero. Given a holonomic D-module $M$ we know that its holonomic dual $M^{'}=\text{Ext}_D^n(M, D)$ it is also holonomic. Also we now both modules being holonomic have a well defined b-function.

My question: is there any relation relation between the b-functions of $M$ and $M^{'}$?

Thanks in advance!


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.