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On surfaces of sectional genus four

Published online by Cambridge University Press:  24 October 2008

L. Roth
L. Roth
Affiliation:
Clare College
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Extract

1. The classification of surfaces whose sections are hyperelliptic has been given by Castelnuovo and that of surfaces with sectional genus π = 3 by Castelnuovo† and Scorza. For higher values of π the work is naturally more complicated and the possible types far more numerous, but the problem is simplified if we restrict ourselves to the investigation of surfaces without singularities, generally lying in space Sr (r > 3). In the present paper we obtain all such surfaces having sectional genus four.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 29 , Issue 2 , May 1933 , pp. 184 - 194
Copyright
Copyright © Cambridge Philosophical Society 1933

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References

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