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Some threefolds on which adjunction terminates

Published online by Cambridge University Press:  24 October 2008

L. Roth
L. Roth
Affiliation:
Imperial College of ScienceLondon
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Extract

A well-known theorem, due to Castelnuovo and Enriques(1), states that a surface on which the process of successive adjunction, applied to any curve system, terminates, must be rational or scrollar; actually the result shows that, if the property in question holds for any one system of sufficiently general type, then it must hold for all systems; but this has not been established directly.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 2 , April 1952 , pp. 233 - 242
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

REFERENCES

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