English

On the isomorphism problem for the rings of differential operators on smooth affine varieties

Quantum Algebra 2022-09-20 v2 Rings and Algebras

Abstract

We show that given two smooth affine varieties over C\mathbb{C} such that their rings of differential operators are Morita equivalent, then corresponding cotangent bundles are isomorphic as symplectic varieties.

Keywords

Cite

@article{arxiv.1811.00182,
  title  = {On the isomorphism problem for the rings of differential operators on smooth affine varieties},
  author = {Akaki Tikaradze},
  journal= {arXiv preprint arXiv:1811.00182},
  year   = {2022}
}

Comments

6 pages, final version, to appear in Journal of Algebra