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Note on a theorem enunciated by Todd

Published online by Cambridge University Press:  24 October 2008

P. Du Val
P. Du Val
Affiliation:
Trinity College
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Extract

J. A. Todd has enunciated the following theorem:

“If the canonical adjoints ∑ of an irreducible curve Γ contain fixed parts, then, if Γ is not elliptic, all the fixed curves are simple, rational, determined uniquely by the base points, which present independent conditions for them, and have no free intersections with each other or with the variable part of the system ∑.”

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 32 , Issue 3 , October 1936 , pp. 378 - 379
Copyright
Copyright © Cambridge Philosophical Society 1936

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References

* Todd, J. A., “On the determination of plane curves by means of assigned singularities”, Proc. Camb. Phil. Soc. 27 (1931), 291–305 (298).CrossRefGoogle Scholar