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Rings of differential operators on toric varieties

Published online by Cambridge University Press:  20 January 2009

A. G. Jones
A. G. Jones
Affiliation:
Department of Pure Mathematics, The University of Sheffield, Sheffield, S3 7RH
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Abstract

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Let be a finite dimensional toric variety over an algebraically closed field of characteristic zero, k. Let be the sheaf of differential operators on . We show that the ring of global sections, is a finitely generated Noetherian k-algebra and that its generators can be explicitly found. We prove a similar result for the sheaf of differential operators with coefficients in a line bundle.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 143 - 160
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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