代数幾何学セミナー
過去の記録 ~01/31|次回の予定|今後の予定 02/01~
| 開催情報 | 金曜日 13:30~15:00 数理科学研究科棟(駒場) 118号室 |
|---|---|
| 担当者 | 權業 善範、河上 龍郎 、榎園 誠 |
2025年12月26日(金)
13:30-15:00 数理科学研究科棟(駒場) 118号室
森山奈緒 氏 (京都大学)
Remarks on the minimal model theory for log surfaces in the analytic setting
森山奈緒 氏 (京都大学)
Remarks on the minimal model theory for log surfaces in the analytic setting
[ 講演概要 ]
In 2022, Fujino introduced a complex analytic framework for discussing the minimal model theory, in particular the minimal model program for projective morphisms of complex analytic spaces.
In this talk, I will discuss the minimal model theory for log surfaces in this setting. More precisely, I will show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces that are projective over complex analytic varieties.
In 2022, Fujino introduced a complex analytic framework for discussing the minimal model theory, in particular the minimal model program for projective morphisms of complex analytic spaces.
In this talk, I will discuss the minimal model theory for log surfaces in this setting. More precisely, I will show that the minimal model program, the abundance theorem, and the finite generation of log canonical rings hold for log pairs of complex surfaces that are projective over complex analytic varieties.


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