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