Polarized cylinders on blow-ups of weighted projective planes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918494155571200 |
|---|---|
| author | Kim, In-Kyun Sawahara, Masatomo Won, Joonyeong |
| author_facet | Kim, In-Kyun Sawahara, Masatomo Won, Joonyeong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10244 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polarized cylinders on blow-ups of weighted projective planes Kim, In-Kyun Sawahara, Masatomo Won, Joonyeong Algebraic Geometry 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. |
| title | Polarized cylinders on blow-ups of weighted projective planes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.10244 |