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

Fuente: arXiv
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Main Author: Degtyarev, Alex
Format: Preprint
Published: 2025
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author Degtyarev, Alex
author_facet Degtyarev, Alex
contents We find upper bounds, sharp in most cases, on the number of real hyperplane sections of real smooth polarized $K3$-surfaces that split into lines. Most bounds coincide with their complex counterparts.
format Preprint
id arxiv_https___arxiv_org_abs_2512_06833
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Real split hyperplane sections on smooth polarized $K3$-surfaces
Degtyarev, Alex
Algebraic Geometry
14J28, 14N25
We find upper bounds, sharp in most cases, on the number of real hyperplane sections of real smooth polarized $K3$-surfaces that split into lines. Most bounds coincide with their complex counterparts.
title Real split hyperplane sections on smooth polarized $K3$-surfaces
topic Algebraic Geometry
14J28, 14N25
url https://arxiv.org/abs/2512.06833