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On the connectivity of the hyperbolicity region of irreducible polynomials

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Publication:2424554
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DOI10.1515/advgeom-2017-0055zbMath1411.14067arXiv1704.04388OpenAlexW3101284536MaRDI QIDQ2424554

Mario Kummer

Publication date: 25 June 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04388


zbMATH Keywords

connected componenthyperbolic polynomial


Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Semialgebraic sets and related spaces (14P10) Other problems of combinatorial convexity (52A37)


Related Items (2)

Hyperbolic secant varieties of \(M\)-curves ⋮ Conic stability of polynomials and positive maps



Cites Work

  • Unnamed Item
  • On the conformal order representation of Riemannian surfaces and a characterization of separating families of curves
  • Livsic-type determinantal representations and hyperbolicity
  • Hyperbolicity cones and imaginary projections
  • Linear matrix inequality representation of sets
  • Hyperbolic Polynomials and Interior Point Methods for Convex Programming


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