| Speaker: | Yutaro Kaijima (Osaka Univ.) |
|---|---|
| Title: | Special resolution appearing in the relation between F-blowups and essential divisors |
| Date (JST): | Thu, Nov 07, 2024, 13:30 - 15:00 |
| Place: | Balcony A |
| Abstract: |
The F-blowup is a canonical birational transform of a singular variety in positive characteristic. The essential divisor is a prime divisor which appears on every resolution. There are several questions regarding the F-blowups. When does the F-blowup become a (crepant) resolution? If not, do all essential divisors appear on F-blowup? Recently, several results were obtained on relation between F-blowups and essential divisor for normal toric varieties. In this talk, I will talk about a special resolution (moderate toric resolution) which appear in connection with F-blowups and essential divisors for normal toric varieties and present conditions for the (non) existence of such resolutions. This talk is based on joint work with Yudai Yamamoto. |
