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On the algebraic boundaries among typical ranks for real binary forms. (English) Zbl 1397.15021

Summary: We describe the algebraic boundaries of the regions of real binary forms with fixed typical rank and of degree at most eight, showing that they are dual varieties of suitable coincident root loci.

MSC:

15A69 Multilinear algebra, tensor calculus
14P10 Semialgebraic sets and related spaces
14N05 Projective techniques in algebraic geometry
11E16 General binary quadratic forms
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