Grassmann convexity and multiplicative Sturm theory, revisited

zbMath1477.51028arXiv1902.09741MaRDI QIDQ5155008

Michael Shapiro, Nicolau C. Saldanha, Boris Zalmanovich Shapiro

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1902.09741

zbMATH Keywords

Schubert calculusosculating flagsdisconjugate linear ordinary differential equationsGrassmann curves

Mathematics Subject Classification ID

Spherical and hyperbolic convexity (52A55) Linear boundary value problems for ordinary differential equations (34B05) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (3)

Stratification of spaces of locally convex curves by itineraries ⋮ Finiteness of rank for Grassmann convexity ⋮ Wronskians, total positivity, and real Schubert calculus

Cites Work

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• Curves in Rd intersecting every hyperplane at most d + 1 times
• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0
• ON TWO CONJECTURES CONCERNING CONVEX CURVES
• SPACES OF LINEAR DIFFERENTIAL EQUATIONS, AND FLAG MANIFOLDS

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