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Rational functions and real Schubert calculus

A. Eremenko, A. Gabrielov, M. Shapiro, A. Vainshtein

math.AGarXiv:math/0407408

Abstract

We single out some problems of Schubert calculus of subspaces of codimension 2 that have the property that all their solutions are real provided that the data are real. Our arguments explore the connection between subspaces of codimension 2 and rational functions of one variable.

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