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Rational normal octavic surfaces with a double line, in space of five dimensions: Addition

Published online by Cambridge University Press:  24 October 2008

D. W. Babbage
Affiliation:
Magdalene College

Extract

In a recent paper in these Proceedings on the rational normal octavic surfaces with a double line in [5] I found four such surfaces, , and representable on a plane respectively by the systems of curves C5 (22, 19), C6(26, 14), and C7 (3, 28), with the base points in each case lying on an elliptic cubic. Inadvertently I overlooked a solution of certain indeterminate equations which leads to a fifth type represented by the plane system C9(38, 1).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1933

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References

* Babbage, , “Rational normal octavic surfaces with a double line, in space of five dimensions”, Proc. Camb. Phil. Soc., 29 (1933), 95102.CrossRefGoogle Scholar

Roth, , “On surfaces of sectional genus four”, Proc. Camb. Phil. Soc., 29 (1933), 184194.CrossRefGoogle Scholar