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Transformations depending on sets of associated points

Published online by Cambridge University Press:  24 October 2008

T. G. Room
T. G. Room
Affiliation:
University of Sydney
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Extract

This paper falls into three sections: (1) a system of birational transformations of the projective plane determined by plane cubic curves of a pencil (with nine associated base points), (2) some one-many transformations determined by the pencil, and (3) a system of birational transformations of three-dimensional projective space determined by the elliptic quartic curves through eight associated points (base of a net of quadric surfaces).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 3 , July 1952 , pp. 383 - 391
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

REFERENCES

(1)Coolidge, J. L.Algebraic plane curves (Oxford, 1931).Google Scholar
(2)Room, T. G.Quart. J. Math. 20 (1949), 193–217.CrossRefGoogle Scholar
(3)Room, T. G.University of Washington Publications (in the press).Google Scholar