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Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro
Boris and Michael Shapiro have a conjecture concerning the Schubert calculus and real enumerative geometry and which would give infinitely many families of zero-dimensional systems of real polynomials (including families of overdetermined systems)—all of whose solutions are real. It has connections to the pole placement problem in linear systemstheory and …