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| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室 |
|---|---|
| 担当者 | 權業 善範、中村 勇哉、田中 公 |
2014年06月02日(月)
15:30-17:00 数理科学研究科棟(駒場) 122号室
中村勇哉 氏 (東京大学数理科学研究科)
On base point free theorem for log canonical three folds over the algebraic closure of a finite field (JAPANESE)
中村勇哉 氏 (東京大学数理科学研究科)
On base point free theorem for log canonical three folds over the algebraic closure of a finite field (JAPANESE)
[ 講演概要 ]
We will discuss about the base point free theorem on three-dimensional
pairs defined over the algebraic closure of a finite field.
We know the base point free theorem on arbitrary-dimensional Kawamata
log terminal pairs in characteristic zero. By Birkar and Xu, the base
point free theorem in positive characteristic is known for big line
bundles on three-dimensional Kawamata log terminal pairs defined over
an algebraically closed field of characteristic larger than 5. Over the
algebraic closure of a finite field, a stronger result was proved by Keel.
The purpose of this talk is to generalize the Keel's result. We will
prove the base point free theorem for big line bundles on
three-dimensional log canonical pairs defined over the algebraic closure
of a finite field. This theorem is not valid for another field.
This is joint work with Diletta Martinelli and Jakub Witaszek.
We will discuss about the base point free theorem on three-dimensional
pairs defined over the algebraic closure of a finite field.
We know the base point free theorem on arbitrary-dimensional Kawamata
log terminal pairs in characteristic zero. By Birkar and Xu, the base
point free theorem in positive characteristic is known for big line
bundles on three-dimensional Kawamata log terminal pairs defined over
an algebraically closed field of characteristic larger than 5. Over the
algebraic closure of a finite field, a stronger result was proved by Keel.
The purpose of this talk is to generalize the Keel's result. We will
prove the base point free theorem for big line bundles on
three-dimensional log canonical pairs defined over the algebraic closure
of a finite field. This theorem is not valid for another field.
This is joint work with Diletta Martinelli and Jakub Witaszek.
