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arXiv · 2605.10244

Polarized cylinders on blow-ups of weighted projective planes

In-Kyun Kim·Masatomo Sawahara·Joonyeong Won
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Abstract

We study polarized cylinders in certain rational surfaces arising from blow-ups of weighted projective planes. In particular, we consider the surfaces obtained by blowing up $m+4$ points in general position on the weighted projective plane $\mathbb{P}(1,1,m)$. These surfaces appear naturally as weighted hypersurfaces or quasi-smooth complete intersections.

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In-Kyun Kim, Masatomo Sawahara, Joonyeong Won. 2026-05-11. Polarized cylinders on blow-ups of weighted projective planes. https://arxiv.org/abs/2605.10244

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