Abstract

This paper presents mutual invariants of families of coplanar conics. These invariants are compared with the use of invariants of two conics and a case is presented where the proposed invariants have a greater discriminating power than the previously used invariants. The use of invariants for two conics is extended to any number of coplanar conics. A lambda-matrix is associated with each family of coplanar conics. The use of lambda-matrices is extended from the single variable polynomial to multi-variable polynomials. The Segre characteristic and other invariants of the lambda-matrix are used as invariants of the family of conics.

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