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Seminar on Geometric Complex Analysis
Seminar information archive ～12/31｜Next seminar｜Future seminars 01/01～
| Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2026/01/19
10:30-12:00 Room # (Graduate School of Math. Sci. Bldg.)
Online only (No in-person).
Peiqiang Lin ( )
Lemma on logarithmic derivative over directed manifolds (English)
https://forms.gle/gTP8qNZwPyQyxjTj8
Online only (No in-person).
Peiqiang Lin ( )
Lemma on logarithmic derivative over directed manifolds (English)
[ Abstract ]
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.
[ Reference 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
