Work

Polarized cylinders on blow-ups of weighted projective planes

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.10244

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

Institution: Korea Institute for Advanced Study

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, Japan Society for the Promotion of Science

Awards: Structure of normal del Pezzo surfaces and existence conditions for cylinders, Log del Pezzo surfaces and their polarized cylinders

OpenAlex ID: W7160914613

Cites: 6

Cited by: 1

Related to: 10