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Rings, Modules, and Representations
August 14-18, 2000
Ovidius University
Constanta, Romania

Organizers
Laszlo Marki, Fred van Oystaeyen, Klaus W. Roggenkamp, Mirela Stefanescu

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Graded D-modules on monomial curves
by
Eivind Eriksen
University of Oslo

We consider the associative ring D=D(X) of k-linear differential operators on an affine, monomial curve X defined over an algebraically closed field k of characteristic 0. We characterize the ring D, and give an explicit description of its graded structure. Furthermore, we classify all graded holonomic D-modules, which correspond to certain systems of differential equations on X.

Eivind Eriksen

Date received: July 19, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafe-39.