225 citations · 542 across the 32 of their papers we have counts for
4 papers · 1 filter
The Chow form of a reciprocal linear space
Mario Kummer, Cynthia Vinzant
A reciprocal linear space is the image of a linear space under coordinate-wise inversion. These fundamental varieties describe the analytic centers of hyperplane arrangements and a…
Gram Spectrahedra
Lynn Chua, Daniel Plaumann, Rainer Sinn +1
Representations of nonnegative polynomials as sums of squares are central to real algebraic geometry and the subject of active research. The sum-of-squares representations of a giv…
Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree
Grigoriy Blekherman, Daniel Plaumann, Rainer Sinn +1
A celebrated result by Hilbert says that every real nonnegative ternary quartic is a sum of three squares. We show more generally that every nonnegative quadratic form on a real pr…
Computing complex and real tropical curves using monodromy
Daniel A. Brake, Jonathan D. Hauenstein, Cynthia Vinzant
Tropical varieties capture combinatorial information about how coordinates of points in a classical variety approach zero or infinity. We present algorithms for computing the rays…