Finite quotients of abelian varieties with a Calabi-Yau resolution
Event details
| Date | 28.04.2022 |
| Hour | 14:15 › 15:45 |
| Speaker | Cécile Gachet (Univerité Côte d'Azur, Nice) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Let G be a group acting freely in codimension 1 on an abelian variety A. In terms of the Beauville-Bogomolov decomposition, the singular quotient A/G has the type of an abelian variety, whereas its terminalization (or its crepant resolution, if there is one) could be a hyperkähler or a Calabi-Yau variety: the Kummer surface is an example along these lines.
In this talk, I show that however, A/G has no simply-connected crepant resolution when assuming that G acts freely in codimension 3.
If G acts freely in codimension 2, there are, due to K. Oguiso, exactly two threefolds A/G with a Calabi-Yau resolution. I show that there are no such fourfolds.
Practical information
- Informed public
- Free
Organizer
- Fabio Bernasconi
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)