DIFFERENTIAL OPERATORS ON A CUBIC CONE

@inproceedings{Bernstein2005DIFFERENTIALOO,
  title={DIFFERENTIAL OPERATORS ON A CUBIC CONE},
  author={Ilene Nagel Bernstein},
  year={2005}
}
Consider in the space C with the coordinates x{ , x2, x3 the surface X defined by the equation x\ + x\ + x\ = 0. We prove the following theorem: T H E O R E M 1. Let D{X) be the ring of regular differential operators on X, and Da the ring of germs at the point 0 of analytic operators on X. Then 1°. the rings D(X) and Da are not Noetherian; 2°. for any natural number k the rings D{X) and Da are not generated by the subspaces Dk (Dak, respectively) of operators of order not exceeding k. In… CONTINUE READING

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