Logarithmic bounds on Fujita's conjecture
Event details
| Date | 07.04.2022 |
| Hour | 15:00 › 16:30 |
| Speaker | Justin Lacini (University of Kansas) |
| Location |
by Zoom only
|
| Category | Conferences - Seminars |
| Event Language | English |
A longstanding conjecture of T. Fujita asserts that if X is a smooth complex projective variety of dimension n and if L is an ample line bundle, then K_X+mL is basepoint free for m>=n+1. The conjecture is known up to dimension five by work of Reider, Ein, Lazarsfeld, Kawamata, Ye and Zhu. In higher dimensions, breakthrough work of Angehrn, Siu, Helmke and others showed that the conjecture holds if m is larger than a quadratic function in n. We show that for n>=2 the conjecture holds for m larger than n(loglog(n)+3). This is joint work with L. Ghidelli.
Practical information
- Informed public
- Free
Organizer
- Roberto Svaldi
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)