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arXiv · 2509.24349

Split hyperplane sections on smooth polarized $K3$-surfaces

Alex Degtyarev
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Abstract

We study hyperplane sections of smooth polarized $K3$-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 $6$), we also compute all configurations of such sections.

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Alex Degtyarev. 2025-09-29. Split hyperplane sections on smooth polarized $K3$-surfaces. https://arxiv.org/abs/2509.24349

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