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Showing 2007 · math.AGShow all
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math.AG2007★ 39 cited
Matching polytopes, toric geometry, and the non-negative part of the Grassmannian
Alexander Postnikov, David Speyer, Lauren Williams
In this paper we use toric geometry to investigate the topology of the totally non-negative part of the Grassmannian (Gr_{kn})_{\geq 0}. This is a cell complex whose cells Delta_G…
math.AG2007★ 1 cited
Algebraic geometry of Gaussian Bayesian networks
Seth Sullivant
Conditional independence models in the Gaussian case are algebraic varieties in the cone of positive definite covariance matrices. We study these varieties in the case of Bayesian…