2 papers
math.AG2026
Distance, Normals and Double Normals for Real Plane Curves with Singularrities
Dirk Siersma
For real algebraic curves in the plane with singularities we investigate the relation between normals and double normals and the critical points of the squared distance function (u…
math.AG2025
Euclidean distance discriminants and Morse attractors
Cezar JoiÅ£a, Dirk Siersma, Mihai TibÄr
Our study concerns the Euclidean distance function in case of complex plane curves. We decompose the ED discriminant into components which are responsible for three types of behavi…