Twisted cohomology for GKZ systems

Generalized Euler integrals naturally give rise to a cohomology group, called twisted cohomology. Its dimension is the same as the Euler characteristics of a particular very affine variety. The D-module structure on the twisted cohomology is a Gauss-Manin connection, which is isomorphic to a GKZ system. The isomorphism tells us how to compute twisted cohomology in terms of the Weyl algebra.