The special Schubert calculus is real
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Publication:4252959
DOI10.1090/S1079-6762-99-00058-XzbMath0921.14037arXivmath/9904153OpenAlexW1553803307MaRDI QIDQ4252959
Publication date: 23 June 1999
Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9904153
Pole and zero placement problems (93B55) Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Real algebraic and real-analytic geometry (14P99)
Related Items
Elementary transversality in the Schubert calculus in any characteristic, ON TWO CONJECTURES CONCERNING CONVEX CURVES, On total reality of meromorphic functions, Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro, Numerical Evidence for a Conjecture in Real Algebraic Geometry, Linear pencils on graphs and on real curves, Jeu de taquin and a monodromy problem for Wronskians of polynomials, The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz, Eigenvalues, invariant factors, highest weights, and Schubert calculus, Rational functions and real Schubert calculus, Linear series over real and $p$-adic fields, Probabilistic Schubert calculus, Frontiers of reality in Schubert calculus, The Wronski map and Grassmannians of real codimension 2 subspaces., Counterexamples to pole placement by static output feedback
Cites Work
- Divisors on general curves and cuspidal rational curves
- Some remarks on real and complex output feedback
- Numerical Schubert calculus
- Enumerative geometry for the real Grassmannian of lines in projective space
- Real enumerative geometry and effective algebraic equivalence
- Enumerative geometry for real varieties
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