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The quartic projections of Castelnuovo's normal surface with hyperelliptic prime sections

Published online by Cambridge University Press:  14 November 2011

W. L. Edge
W. L. Edge
Affiliation:
Nazareth House, Hillhead, Bonnyrigg, Midlothian EH19 2JF, Scotland, U.K.
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Synopsis

Any non-ruled quartic surface with a double line in space of three dimensions has plane sections of genus 2 and so is a projection of a non-singular duodecimic surface in space of eleven dimensions. This was accepted as an established fact by 1890, but there seems not to be any account of such a projection in action. The following pages are submitted to aid the removal of this century-old anomaly.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 3-4 , 1989 , pp. 315 - 324
Copyright
Copyright © Royal Society of Edinburgh 1989

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