- Experiment. Math.
- Volume 15, Issue 2 (2006), 199-222.
Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds
The Shapiro conjecture in the real Schubert calculus, while likely true for Grassmannians, fails to hold for flag manifolds, but in a very interesting way. We give a refinement of the Shapiro conjecture for flag manifolds and present massive computational experimentation in support of this refined conjecture. We also prove the conjecture in some special cases using discriminants and establish relationships between different cases of the conjecture.
Experiment. Math., Volume 15, Issue 2 (2006), 199-222.
First available in Project Euclid: 5 April 2007
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Ruffo, Jim; Sivan, Yuval; Soprunova, Evgenia; Sottile, Frank. Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds. Experiment. Math. 15 (2006), no. 2, 199--222. https://projecteuclid.org/euclid.em/1175789741