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A question concerning Aronhold's Theorems on Bitangents

Published online by Cambridge University Press:  20 January 2009

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The question to be discussed is this:—

Can Aronhold's theorems on the bitangents of a quartic curve of genus three be extended to the tritangent planes of a space seztic of genus four?

The answer is “No”: decisiveness arises from the fact that the gist of Aronhold's results can be stated in a very simple form, namely:—

(a) Given seven lines in a plane it is possible to derive from them uniquely and symmetrically a quartic curve that has them for bitangents.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1947