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Locally free (ℙn)-modules

Published online by Cambridge University Press:  24 October 2008

S. C. Coutinho  and
M. P. Holland
S. C. Coutinho
Affiliation:
Instituto de Matematica, Universidade Federal do Rio de Janeiro, Brazil
M. P. Holland
Affiliation:
Department of Pure Mathematics, Sheffield University, Sheffield S3 7RH
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Extract

The purpose of this paper is to study the structure of locally free modules over the ring of differential operators on projective space. Let be a non-singular, complex, algebraic variety. Denote by the sheaf of rings of differential operators over and by its ring of global sections. A -module M is called locally free if the associated sheaf ⊗ M is locally free as a sheaf of -modules. Locally free modules arise naturally in -module theory as inverse images of determined modules; see [1] for definitions and examples.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 2 , September 1992 , pp. 233 - 245
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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