Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-24T07:12:35.550Z Has data issue: false hasContentIssue false

A question concerning Aronhold's Theorems on Bitangents

Published online by Cambridge University Press:  20 January 2009

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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