1 citations · 2 across the 7 of their papers we have counts for
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Rational curves on Grassmannians: systems theory, reality, and transversality
Frank Sottile
We discuss a particular problem of enumerating rational curves on a Grassmannian from several perspectives, including systems theory, real enumerative geometry, and symbolic comput…
Elementary Transversality in the Schubert calculus in any Characteristic
Frank Sottile
We give a characteristic-free proof that general codimension-1 Schubert varieties meet transversally in a Grassmannian and in some related varieties. Thus the corresponding interse…
An excursion from enumerative goemetry to solving systems of polynomial equations with Macaulay 2
Frank Sottile
Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has been hopeless to find explicit solutions to such systems…
Complementary Algorithms For Tableaux
Tom Roby, Frank Sottile, Jeffrey Stroomer +1
We study four operations defined on pairs of tableaux. Algorithms for the first three involve the familiar procedures of jeu de taquin, row insertion, and column insertion. The fou…