133 citations · 554 across the 117 of their papers we have counts for
5 papers · 1 filter
Line problems in nonlinear computational geometry
Frank Sottile, Thorsten Theobald
We first review some topics in the classical computational geometry of lines, in particular the O(n^{3+ε}) bounds for the combinatorial complexity of the set of lines in R^3 intera…
Real solutions to equations from geometry
Frank Sottile
Understanding, finding, or even deciding on the existence of real solutions to a system of equations is a very difficult problem with many applications. While it is hopeless to exp…
The recursive nature of cominuscule Schubert calculus
Kevin Purbhoo, Frank Sottile
The necessary and sufficient Horn inequalities which determine the non-vanishing Littlewood-Richardson coefficients in the cohomology of a Grassmannian are recursive in that they a…
The Horn recursion for Schur P- and Q- functions: Extended Abstract
Kevin Purbhoo, Frank Sottile
A consequence of work of Klyachko and of Knutson-Tao is the Horn recursion to determine when a Littlewood-Richardson coefficient is non-zero. Briefly, a Littlewood-Richardson coeff…
The Equivariant Chow rings of quot schemes
Tom Braden, Linda Chen, Frank Sottile
We give a presentation for the (integral) torus-equivariant Chow ring of the quot scheme, a smooth compactification of the space of rational curves of degree d in the Grassmannian.…