Zusammenfassung für den Vortrag am 31.08.2022 (14:00 Uhr)

Seminar on Nonlinear Algebra

Chiara Meroni (MPI MiS, Leipzig)
The algebra of convex hulls: surfaces in fourspace

The boundary of a convex hull is a subtle object. However, there is a technique to study the convex hull of a real variety. The goal is to understand which varieties contribute to the boundary. We analyze in details the case of smooth surfaces in four-dimensional space, in particular for Veronese, Del Pezzo, and Bordiga surfaces.