Rings of differential operators on toric varieties

@inproceedings{Jones1994RingsOD,
  title={Rings of differential operators on toric varieties},
  author={Alan G. Jones},
  year={1994}
}
Let be a finite dimensional toric variety over an algebraically closed field of characteristic zero, k . Let be the sheaf of differential operators on . We show that the ring of global sections, is a finitely generated Noetherian k -algebra and that its generators can be explicitly found. We prove a similar result for the sheaf of differential operators with coefficients in a line bundle.