133 citations · 554 across the 117 of their papers we have counts for
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Some geometrical aspects of control points for toric patches
Gheorghe Craciun, Luis Garcia-Puente, Frank Sottile
We use ideas from algebraic geometry and dynamical systems to explain some ways that control points influence the shape of a Bézier curve or patch. In particular, we establish a ge…
Linear precision for toric surface patches
Hans-Christian Graf von Bothmer, Kristian Ranestad, Frank Sottile
We classify the homogeneous polynomials in three variables whose toric polar linear system defines a Cremona transformation. This classification also includes, as a proper subset,…
General isotropic flags are general (for Grassmannian Schubert calculus)
Frank Sottile
We show that general isotropic flags for odd-orthogonal and symplectic groups are general for Schubert calculus on the classical Grassmannian in that Schubert cells defined by such…
Betti number bounds for fewnomial hypersurfaces via stratified Morse theory
Frederic Bihan, Frank Sottile
We use stratified Morse theory for a manifold with corners to give a new bound for the sum of the Betti numbers of a hypersurface in R^n_> defined by a polynomial with n+l+1 terms.