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CoincidentRootLoci :: CoincidentRootLocus

CoincidentRootLocus -- the class of all coincident root loci

Description

The coincident root locus associated with a partition λ=(λ1,...,λd) of a number n is the closed subvariety of the projective space ℙn = ℙ(Symn(K2)) given by binary forms that factor as L1λ1…Ldλd for some linear forms L1,...,Ld over K. For instance, if λ=(2,1,...,1), then we have the classical discriminant hypersurface; in the opposite case, if λ=(n) we have the rational normal curve of degree n.

See also

Functions and methods returning an object of class CoincidentRootLocus :

Methods that use an object of class CoincidentRootLocus :

For the programmer

The object CoincidentRootLocus is a type, with ancestor classes MutableHashTable < HashTable < Thing.