Abstract

This is a study of the aggregate of complete conics in the plane S 2 and their representation in S 27 by the points of a model variety Q of dimension 5 and order 102. Equivalence bases in each dimension on O are obtained and described, together with bases on certain important subvarieties of s2, with a particular view to clarifying the enumerative geometry of complete conics. A number of important and interesting systems of complete conics are studied in some detail.

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