2 papers
math.AG2025
Almost All Transverse-Free Plane Curves Are Trivially Transverse-Free
Alejandro Lopez, Bella Villarreal, Ren Watson +1
We call a curve defined over \textit{transverse-free} if for every line, , over , is not a smooth dimensio…
math.AG2024
Transverse-freeness in finite geometries
Charlie Bruggemann, Vera Choi, Brian Freidin +1
We study projective curves and hypersurfaces defined over a finite field that are tangent to every member of a class of low-degree varieties. Extending 2-dimensional work of Asgarl…