3 papers
math.AG2026
Exposed extreme rays of the SONC cone
Mareike Dressler, Hongzhi Liao, Vera Roshchina
We provide a complete and explicit characterization of the exposed extreme rays of the cone of sums of nonnegative circuit (SONC) polynomials. The criterion we derive is purely com…
math.OC2025
Inner approximations of convex sets and intersections of projectionally exposed cones
Bruno F. Lourenço, Vera Roshchina, James Saunderson
A convex cone is said to be projectionally exposed (p-exposed) if every face arises as a projection of the original cone. It is known that, in dimension at most four, the intersect…
math.DS2024
The problem of optimal camouflaging
Alexander Plakhov, Vera Roshchina
We consider the problem of camouflaging for bodies with specular surface in the framework of geometric optics. The index of visibility introduced in [Plakhov 2017] measures the mea…