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arXiv · 2512.06833

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

Alex Degtyarev
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Abstract

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.

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Alex Degtyarev. 2025-12-07. Real split hyperplane sections on smooth polarized $K3$-surfaces. https://arxiv.org/abs/2512.06833

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