nLab
holonomic D-module

Contents

Idea

(Solutions of) holonomic systems of differential equations are formalized in the notion of a holonomic D-module. A D-module MM on a smooth complex analytic variety XX of dimension nn is holonomic if its characteristic variety is of dimension nn. It follows that the characteristic variety of a holonomic D-module is conic and lagrangian.

Holonomicity of D-modules is important also in geometric representation theory.

References

Lecture notes include

See also