Polarized cylinders on blow-ups of weighted projective planes

In-Kyun Kim; Masatomo Sawahara; Joonyeong Won

Polarized cylinders on blow-ups of weighted projective planes

Algebraic Geometry 2026-05-12 v1

Authors: In-Kyun Kim , Masatomo Sawahara , Joonyeong Won

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.

Keywords

weighted projective plane blow-up polarized cylinders rational surfaces complete intersection

Cite

@article{arxiv.2605.10244,
  title  = {Polarized cylinders on blow-ups of weighted projective planes},
  author = {In-Kyun Kim and Masatomo Sawahara and Joonyeong Won},
  journal= {arXiv preprint arXiv:2605.10244},
  year   = {2026}
}

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