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Degrees of Real Wronski Maps
Authors:Eremenko and Gabrielov
Affiliation:(1) Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA eremenko@math.purdue.edu, agabriel@math.purdue.edu, US
Abstract: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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