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Cremona Transformations in Four Dimensions

Published online by Cambridge University Press:  24 October 2008

J. W. Archbold
J. W. Archbold
Affiliation:
St John's College
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Extract

In view of the interest now taken in Cremona Transformations in more than three dimensions, some account seems desirable of such transformations in four dimensions. Many of the ideas in two and three dimensions are capable of immediate extension. In this paper attention is directed to the new possibilities in regard to the Principal and Fundamental Systems. The paper is written on the lines and with the notation of Miss Hudson's book.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 27 , Issue 4 , October 1931 , pp. 502 - 510
Copyright
Copyright © Cambridge Philosophical Society 1931

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References

* Cremona Transformations in Plane and Space, Cambridge, 1927.Google Scholar

* Hudson, loc. cit., p. 279.

† Veneroni, , Rend. Ist. Lomb. (2) 34 (1901) 640Google Scholar. See also Todd, , Proc. Camb. Phil. Soc. 26 (1930) 330.CrossRefGoogle Scholar

* Hudson, loc. cit., p. 274.

* Semple, , “Cremona transformations of space of four dimensions by means of quadrics, and the reverse transformations”, Phil. Trans. Roy. Soc., A, 228 (1929) 353.CrossRefGoogle Scholar