English

Real split hyperplane sections on smooth polarized $K3$-surfaces

Algebraic Geometry 2025-12-09 v1

Abstract

We find upper bounds, sharp in most cases, on the number of real hyperplane sections of real smooth polarized K3K3-surfaces that split into lines. Most bounds coincide with their complex counterparts.

Keywords

Cite

@article{arxiv.2512.06833,
  title  = {Real split hyperplane sections on smooth polarized $K3$-surfaces},
  author = {Alex Degtyarev},
  journal= {arXiv preprint arXiv:2512.06833},
  year   = {2025}
}
R2 v1 2026-07-01T08:13:40.356Z