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複素解析幾何セミナー
過去の記録 ～12/31｜次回の予定｜今後の予定 01/01～
| 開催情報 | 月曜日 10:30～12:00 数理科学研究科棟(駒場) 128号室 |
|---|---|
| 担当者 | 平地 健吾, 高山 茂晴 |
2026年01月19日(月)
10:30-12:00 数理科学研究科棟(駒場) 号室
オンラインでのみ実施します. 対面での実施はありません.
Peiqiang Lin 氏 ( )
Lemma on logarithmic derivative over directed manifolds (English)
https://forms.gle/gTP8qNZwPyQyxjTj8
オンラインでのみ実施します. 対面での実施はありません.
Peiqiang Lin 氏 ( )
Lemma on logarithmic derivative over directed manifolds (English)
[ 講演概要 ]
The lemma on logarithmic derivative is the key lemma of Nevanlinna theory in one variable. In several variables case, there is also a crucial lemma in Ahlfors’ proof, which we refer to as Ahlfors’ lemma on logarithmic derivative.
In this talk, we will give a generalization of Ahlfors’ lemma on logarithmic derivative to directed projective manifolds in the language of Demailly-Simple jet towers. We also give Algebraic-Geometric Version of Ahlfors’ lemma on logarithmic derivative and its transform. Finally, we show that these help us to obtain a better result in the specific case.
[ 参考URL ]The lemma on logarithmic derivative is the key lemma of Nevanlinna theory in one variable. In several variables case, there is also a crucial lemma in Ahlfors’ proof, which we refer to as Ahlfors’ lemma on logarithmic derivative.
In this talk, we will give a generalization of Ahlfors’ lemma on logarithmic derivative to directed projective manifolds in the language of Demailly-Simple jet towers. We also give Algebraic-Geometric Version of Ahlfors’ lemma on logarithmic derivative and its transform. Finally, we show that these help us to obtain a better result in the specific case.
https://forms.gle/gTP8qNZwPyQyxjTj8
