2 citations · 2 across the 4 of their papers we have counts for
6 papers
Avoidance Loci of Real Projective Varieties
Elizabeth Pratt, Kexin Wang
We study real linear spaces in projective space that avoid the real points of a non-degenerate projective variety. For a variety with a real smooth poi…
Strata of Ecological Coexistence via Grassmannians
Türkü Özlüm Çelik, Pierre A. Haas, Georgy Scholten +2
We study the Lotka--Volterra system from the perspective of computational algebraic geometry, focusing on equilibria that are both feasible and stable. These conditions stratifies…
Hypersurface Arrangements with Generic Hypersurfaces Added
Bernhard Reinke, Kexin Wang
The Euler characteristic of a very affine variety encodes the number of critical points of the likelihood equation on this variety. In this paper, we study the Euler characteristic…
Computing Arrangements of Hypersurfaces
Paul Breiding, Bernd Sturmfels, Kexin Wang
We present a Julia package HypersurfaceRegions.jl for computing all connected components in the complement of an arrangement of real algebraic hypersurfaces in .
Hyperplane Arrangements in the Grassmannian
Elia Mazzucchelli, Dmitrii Pavlov, Kexin Wang
The Euler characteristic of a very affine variety encodes the algebraic complexity of solving likelihood (or scattering) equations on this variety. We study this quantity for the G…
The algebraic degree of the Wasserstein distance
Chiara Meroni, Bernhard Reinke, Kexin Wang
Given two rational univariate polynomials, the Wasserstein distance of their associated measures is an algebraic number. We determine the algebraic degree of the squared Wasserstei…