代数幾何学セミナー

過去の記録 ~08/06次回の予定今後の予定 08/07~

開催情報 火曜日 15:30~17:00 数理科学研究科棟(駒場) 122号室
担当者 權業 善範・中村 勇哉・田中公

2017年12月05日(火)

15:30-17:00   数理科学研究科棟(駒場) 122号室
佐藤 謙太 氏 (東大数理)
Ascending chain condition for F-pure thresholds on a fixed strongly F-regular germ (English or Japanese)
[ 講演概要 ]
For a germ of a variety in positive characteristic and a non-zero ideal sheaf on the variety, we can define the F-pure threshold of the ideal by using Frobenius morphisms, which measures the singularities of the pair. In this talk, I will show that the set of all F-pure thresholds on a fixed strongly F-regular germ satisfies the ascending chain condition. This is a positive characteristic analogue of the "ascending chain condition for log canonical thresholds" in characteristic 0, which was recently proved by Hacon, McKernan, and Xu.