Degrees of Real Wronski Maps

Degrees of Real Wronski Maps

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 d...

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Veröffentlicht in:Discrete & computational geometry 2002-08, Vol.28 (3), p.331-347
Hauptverfasser: Eremenko, Eremenko, Gabrielov, Gabrielov
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Control theory
Determinants
Geometry
Joints
Mathematical analysis
Polynomials
Projection
Vectors (mathematics)
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Zusammenfassung: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. [PUBLICATION ABSTRACT]
ISSN:0179-5376
1432-0444
DOI:10.1007/s00454-002-0735-x