The Wronski map and Grassmannians of real codimension 2 subspaces.

DOI10.1007/BF03320973zbMath1052.14057OpenAlexW2083485411MaRDI QIDQ1848412

Alexandre Eremenko, Andrei Gabrielov

Publication date: 4 February 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03320973

zbMATH Keywords

real rational functionsWronski determinantprescribed critical points

Mathematics Subject Classification ID

Geometric methods (93B27) Grassmannians, Schubert varieties, flag manifolds (14M15) Topology of real algebraic varieties (14P25) Low codimension problems in algebraic geometry (14M07) Real rational functions (26C15)

Related Items (10)

Rational maps as Schwarzian primitives ⋮ Maximal univalent disks of real rational functions and Hermite-Biehler polynomials ⋮ Universal limit linear series and descent of moduli spaces ⋮ Lower bounds for numbers of real solutions in problems of Schubert calculus ⋮ Jets of line bundles on curves and Wronskians ⋮ A wall-crossing formula for degrees of Real central projections ⋮ Lower bounds for real solutions to sparse polynomial systems ⋮ Rational functions and real Schubert calculus ⋮ Metrics with four conic singularities and spherical quadrilaterals ⋮ Odd or even on plane trees

Cites Work

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• The special Schubert calculus is real
• Grassmannian, central projection, and output feedback pole assignment of linear systems

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