215 citations · 3k across the 171 of their papers we have counts for
204 papers
Self-dual matroids from canonical curves
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels +1
Self-dual configurations of 2n points in a projective space of dimension n-1 were studied by Coble, Dolgachev-Ortland, and Eisenbud-Popescu. We examine the self-dual matroids and s…
Gibbs Manifolds
Dmitrii Pavlov, Bernd Sturmfels, Simon Telen
Gibbs manifolds are images of affine spaces of symmetric matrices under the exponential map. They arise in applications such as optimization, statistics and quantum~physics, where…
Four-Dimensional Lie Algebras Revisited
Laurent Manivel, Bernd Sturmfels, Svala Sverrisdóttir
The projective variety of Lie algebra structures on a 4-dimensional vector space has four irreducible components of dimension 11. We compute their prime ideals in the polynomial ri…
Subspaces Fixed by a Nilpotent Matrix
Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski +1
The linear spaces that are fixed by a given nilpotent matrix form a subvariety of the Grassmannian. We classify these varieties for small . Mutiah, Weekes and Yacob…
Recovery of Plane Curves from Branch Points
Daniele Agostini, Hannah Markwig, Clemens Nollau +3
We recover plane curves from their branch points under projection onto a line. Our focus lies on cubics and quartics. These have 6 and 12 branch points respectively. The plane Hurw…
Bayesian Integrals on Toric Varieties
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels +1
We explore the positive geometry of statistical models in the setting of toric varieties. Our focus lies on models for discrete data that are parameterized in terms of Cox coordina…