Masatomo Sawahara

activity

20232026

most citedMinimal compactifications of the affine plane with nef canonical divisors

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2026

Flexibility of affine cones over blow-ups of weighted projective planes

In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara

Let $S_{m}^{n}$ be the surface obtained by blowing up $P (1, 1, m)$ at $n$ general smooth points, where $m \geq 2$ . For every very ample Cartier divisor $H$ on $S_{m}^{n}$ , we prove th…

math.AG2026

Polarized cylinders on blow-ups of weighted projective planes

In-Kyun Kim, Masatomo Sawahara, Joonyeong Won

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 $m + 4$ …

math.AG2025

Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero

In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara

In this paper, we study the cylindricity of $k$ -forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes $P (1, 1, m)$ over an arbitrary fie…

math.AG2025

Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two

Jaehyun Kim, Dae-Won Lee, Masatomo Sawahara

We prove that for Du Val del Pezzo surfaces of degree one with Picard rank two, the existence of an anticanonical polar cylinder implies the ample polar cylindricity.

math.AG2024

Polarized cylinders in Du Val del Pezzo surfaces of degree two

Masatomo Sawahara

Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(- K_{S})$ -polar cylinder. In this article, we construct an $H$ -polar cylinder…

math.AG2024

Minimal compactifications of the affine plane with only star-shaped singularities

Masatomo Sawahara

We consider minimal compactifications of the complex affine plane. Minimal compactifications of the affine plane with at most log canonical singularities are classified. Moreover,…