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Ideals of rings of differential operators on algebraic curves (with an appendix by George Wilson)

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

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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].

Item Type: Article
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.
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 02 Jul 2012 08:22
Last Modified: 09 Jun 2014 14:21
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
URI: http://eprints.whiterose.ac.uk/id/eprint/74387

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