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Osculating hyperplanes and a quartic combinant of the nonsingular model of the Kummer and Weddle surfaces

Published online by Cambridge University Press:  24 October 2008

R. H. Dye
R. H. Dye
Affiliation:
University of Newcastleupon Tyne
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Extract

The nonsingular model of Kummer's surface, or its birational equivalent the Weddle surface, is an octavic surface F in [5], projective space of dimension 5 (11), ((10), p. 53), ((1), pp. 218, 219). F is the base variety of a net N of quadrics with a common self-polar simplex S, and has on it 32 lines. These form a single orbit under the group G, of order 32, consisting of the harmonic homologies fixing S.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 92 , Issue 2 , September 1982 , pp. 205 - 220
Copyright
Copyright © Cambridge Philosophical Society 1982

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