複素解析幾何セミナー
過去の記録 ~05/02|次回の予定|今後の予定 05/03~
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 |
2015年04月13日(月)
10:30-12:00 数理科学研究科棟(駒場) 126号室
安福 悠 氏 (日本大学)
Campana's Multiplicity and Integral Points on P^2 (English)
安福 悠 氏 (日本大学)
Campana's Multiplicity and Integral Points on P^2 (English)
[ 講演概要 ]
We analyze when the complements of (possibly reducible) curves in P^2 have Zariski-dense integral points. The analysis utilizes the structure theories for affine surfaces based on logarithmic Kodaira dimension. When the log Kodaira dimension is one, an important role is played by Campana's multiplicity divisors for fibrations, but there are some subtleties. This is a joint work with Aaron Levin (Michigan State).
We analyze when the complements of (possibly reducible) curves in P^2 have Zariski-dense integral points. The analysis utilizes the structure theories for affine surfaces based on logarithmic Kodaira dimension. When the log Kodaira dimension is one, an important role is played by Campana's multiplicity divisors for fibrations, but there are some subtleties. This is a joint work with Aaron Levin (Michigan State).