133 citations · 554 across the 117 of their papers we have counts for
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Double transitivity of Galois Groups in Schubert Calculus of Grassmannians
Frank Sottile, Jacob White
We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2- and 3-planes have…
Degenerations of real irrational toric varieties
Elisa Postinghel, Frank Sottile, Nelly Villamizar
An irrational toric variety X is an analytic subset of the simplex associated to a finite configuration of real vectors. The positive torus acts on X by translation, and we conside…
Lower Bounds in Real Schubert Calculus
Nickolas Hein, Christopher J. Hillar, Frank Sottile
We describe a large-scale computational experiment to study structure in the numbers of real solutions to osculating instances of Schubert problems. This investigation uncovered Sc…
Experimentation in the Schubert Calculus
Abraham Martin del Campo, Frank Sottile
Many aspects of Schubert calculus are easily modeled on a computer. This enables large-scale experimentation to investigate subtle and ill-understood phenomena in the Schubert calc…