| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4596600 | Journal of Pure and Applied Algebra | 2012 | 35 Pages |
Abstract
Let X be a smooth affine irreducible curve over C and let D=D(X) be the ring of global differential operators on X. In this paper, we give a geometric classification of left ideals in D and study the natural action of the Picard group of D on the space of isomorphism classes of such ideals. Our results generalize the classification of left ideals of the first Weyl algebra A1(C) given in Berest and Wilson (2000, 2002) [15,16].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
