2 papers
math.AG2026
A Real Generalized Trisecant Trichotomy
Kristian Ranestad, Anna Seigal, Kexin Wang
The classical trisecant lemma says that a general chord of a non-degenerate space curve is not a trisecant; that is, the chord only meets the curve in two points. The generalized t…
math.AG2025
Positive Polytopes with Few Facets in the Grassmannian
Dmitrii Pavlov, Kristian Ranestad
In this article we study adjoint hypersurfaces of geometric objects obtained by intersecting simple polytopes with few facets in with the Grassmannian $\mathrm{Gr}(2…