Lower bounds for numbers of real solutions in problems of Schubert calculus

DOI10.1007/s11511-016-0143-3zbMath1365.14070arXiv1404.7194OpenAlexW2964331294WikidataQ64214261 ScholiaQ64214261MaRDI QIDQ518168

Evgenii E. Mukhin, Vitaly O. Tarasov

Publication date: 28 March 2017

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.7194

zbMATH Keywords

ramification pointsosculating flagsreal solutions of algebraic systemsSchubert varities

Mathematics Subject Classification ID

Real algebraic sets (14P05) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15)

Related Items (5)

A primal-dual formulation for certifiable computations in Schubert calculus ⋮ Perfect integrability and Gaudin models ⋮ Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus ⋮ A topological proof of the Shapiro-Shapiro conjecture ⋮ Lower bounds and asymptotics of real double Hurwitz numbers

Cites Work

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• Schubert calculus and representations of the general linear group
• Pole Placement by Static Output Feedback for Generic Linear Systems
• Bethe eigenvectors of higher transfer matrices
• Frontiers of reality in Schubert calculus
• Sign-balanced posets

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