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Degrees of real Wronski maps

Alex Eremenko·Andrei Gabrielov
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Abstract

We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main result is computation of degrees of the real Wronski maps. Connections with real algebraic geometry and control theory are described.

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Alex Eremenko, Andrei Gabrielov. 2001-08-20. Degrees of real Wronski maps. https://arxiv.org/abs/math/0108133

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