2 papers
math.AG2025
Real split hyperplane sections on smooth polarized -surfaces
Alex Degtyarev
We find upper bounds, sharp in most cases, on the number of real hyperplane sections of real smooth polarized -surfaces that split into lines. Most bounds coincide with their c…
math.AG2025
Split hyperplane sections on smooth polarized -surfaces
Alex Degtyarev
We study hyperplane sections of smooth polarized -surfaces that split into unions of lines. We describe the dual adjacency graphs of such sections and find sharp upper bounds o…