4 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 Ãzlüm Ãelik, 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…
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…