Split hyperplane sections on smooth polarized $K3$-surfaces
Algebraic Geometry
2025-09-30 v1
Abstract
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 on their number. In most cases (starting from degree ), we also compute all configurations of such sections.
Cite
@article{arxiv.2509.24349,
title = {Split hyperplane sections on smooth polarized $K3$-surfaces},
author = {Alex Degtyarev},
journal= {arXiv preprint arXiv:2509.24349},
year = {2025}
}