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PreprintarXiv licencearXiv

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 ℙ(1,1,m). These surfaces appear naturally as weighted hypersurfaces or quasi-smooth complete intersections.

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Cite

BibTeXRIS
BibTeX
@misc{kim2026polarized,
  title = {{Polarized cylinders on blow-ups of weighted projective planes}},
  author = {In-Kyun Kim and Masatomo Sawahara and Joonyeong Won},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.10244},
  eprint = {2605.10244},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.10244},
}
RIS
TY  - UNPB
TI  - Polarized cylinders on blow-ups of weighted projective planes
AU  - In-Kyun Kim
AU  - Masatomo Sawahara
AU  - Joonyeong Won
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2605.10244
UR  - https://arxiv.org/abs/2605.10244
AB  - 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 ℙ(1,1,m). These surfaces appear naturally as weighted hypersurfaces or quasi-smooth complete intersections.
ER  -