Berest, Y and Chalykh, O (2012) Ideals of rings of differential operators on algebraic curves (with an appendix by George Wilson). Journal of Pure and Applied Algebra, 216 (7). 1493 - 1527 . ISSN 0022-4049
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].
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2012, Elsevier B.V. This is an author produced version of a paper published in Journal of Pure and Applied Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 02 Jul 2012 08:22 |
Last Modified: | 01 Nov 2016 21:19 |
Published Version: | http://dx.doi.org/10.1016/j.jpaa.2012.01.006 |
Status: | Published |
Publisher: | Elsevier (for North-Holland Publishing) |
Identification Number: | 10.1016/j.jpaa.2012.01.006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74387 |