Zobrazeno 1 - 10
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pro vyhledávání: '"Sawahara, Masatomo"'
Autor:
Sawahara, Masatomo
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 for any ample $\mathbb{Q}$-divisor $H$ on $S$.
Comment: 30 pages
Comment: 30 pages
Externí odkaz:
http://arxiv.org/abs/2412.09848
Autor:
Sawahara, Masatomo
We consider minimal compactifications of the complex affine plane. Minimal compactifications of the affine plane with at most log canonical singularities are classified. Moreover, every minimal compactification of the affine plane with at most log ca
Externí odkaz:
http://arxiv.org/abs/2408.07987
Autor:
Sawahara, Masatomo
Publikováno v:
Comm. Algebra 52 (2024), 2185-2204
We shall consider minimal analytic compactifications of the affine plane with singularities. In previous work, Kojima and Takahashi proved that any minimal analytic compactification of the affine plane, which has at worse log canonical singularities,
Externí odkaz:
http://arxiv.org/abs/2304.12756
Autor:
Sawahara, Masatomo
Let $S$ be a del Pezzo surface with at worse Du Val singularities of degree $\ge 3$. We construct an $H$-polar cylinder for any ample $\mathbb{Q}$-divisor $H$ on $S$.
Comment: 23 pages, 8 figures; v3: Many typos are revised. To appear in Forum M
Comment: 23 pages, 8 figures; v3: Many typos are revised. To appear in Forum M
Externí odkaz:
http://arxiv.org/abs/2304.12755
Autor:
Sawahara, Masatomo
Publikováno v:
Geom. Dedicata 217 (2023) Article number 6
In this article, we determine the existing condition of cylinders in smooth minimal geometrically rational surfaces over a perfect field. Furthermore, we show that for any birational map between smooth projective surfaces, one contains a cylinder if
Externí odkaz:
http://arxiv.org/abs/2204.08864
Autor:
Sawahara, Masatomo
Publikováno v:
Pacific J. Math. 321 (2022) 375-413
In this article, we give the classification of normal del Pezzo surfaces of rank one with at most log canonical singularities containing the affine plane defined over an algebraically non-closed field of characteristic zero. As an application, we hav
Externí odkaz:
http://arxiv.org/abs/2107.08730
Autor:
Sawahara, Masatomo
Publikováno v:
Ann. Inst. Fourier 74 (2024) 1--69
Cylinders in projective varieties play an important role in connection with unipotent group actions on certain affine algebraic varieties. The previous work due to Dubouloz and Kishimoto deals with the condition for a del Pezzo fibration to contain a
Externí odkaz:
http://arxiv.org/abs/2012.10062
Autor:
Sawahara, Masatomo
Publikováno v:
Transform. Groups 28 (2023) 413-437
In this article, we shall look into the existence of vertical cylinders contained in a weak del Pezzo fibration as a generalization of the former work due to Dubouloz and Kishimoto in which they observed that of vertical cylinders found in del Pezzo
Externí odkaz:
http://arxiv.org/abs/1912.09016
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Autor:
Sawahara, Masatomo
Publikováno v:
Communications in Algebra; 2024, Vol. 52 Issue 5, p2185-2204, 20p
