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Algebraic Geometry Seminar
Seminar information archive ～12/24｜Next seminar｜Future seminars 12/25～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
Next seminar
2025/12/26
13:30-15:00 Room #118 (Graduate School of Math. Sci. Bldg.)
Nao Moriyama (Kyoto University)
Remarks on the minimal model theory for log surfaces in the analytic setting
Nao Moriyama (Kyoto University)
Remarks on the minimal model theory for log surfaces in the analytic setting
[ Abstract ]
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.
