Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-26T08:34:45.843Z Has data issue: false hasContentIssue false

On Questions of Reality for Twisted Quartics of the First Kind

Published online by Cambridge University Press:  24 October 2008

Patrick Du Val
Affiliation:
Trinity College

Extract

By a twisted quartic of the first kind is intended the curve in space of three dimensions defined by two quadratic equations, i.e. the complete intersection of two quadric surfaces. If this intersection consist of the aggregate of two or more curves of lower order than the fourth, it will be called a degenerate quartic. In general, a twisted quartic of the first kind will be referred to for brevity as a quartic.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1928

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Correspondance de l'École Polytechnique, I (1808), p. 370.Google Scholar

Beiträge zur Geometrie der Lage, III (1860), § 37.Google Scholar

Flächen dritter Ordnung (1867), p. 264.Google Scholar

§ Nouvelles Annales de Mathématique, 2° série, VII (1868), p. 481.Google Scholar

Journal für Mathematik, LXVIII (1868), p. 118;Google ScholarOpere, III, p. 106.Google Scholar

Math. Annalen, XII (1877), p. 47.Google Scholar

* Comptes Rendus, LIV (1862), p. 317.Google Scholar

Loc. cit.Google Scholar

Journal für Math, XLIX (1855), p. 279;Google ScholarWerke, p. 345.Google Scholar

§ Math. Annalen, VII (1874), p. 410.Google Scholar