Published online by Cambridge University Press: 24 October 2008
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.
* 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