Arithmetic of zero-cycles on products of Kummer varieties and K3 surfaces
Event details
Date | 14.11.2018 |
Hour | 14:00 › 15:00 |
Speaker | Francesca Balestrieri (Max Planck Institute, Bonn) |
Location | |
Category | Conferences - Seminars |
The following is joint work with Rachel Newton. In the spirit of work by Yongqi Liang, we relate the arithmetic of rational points to that of zero-cycles for the class of Kummer varieties over number fields. In particular, if X is any Kummer variety over a number field k, we show that if the Brauer-Manin obstruction is the only obstruction to the existence of rational points on X over all finite extensions of k, then the Brauer-Manin obstruction is the only obstruction to the existence of a zero-cycle of any odd degree on X. Building on this result and on some other recent results by Ieronymou, Skorobogatov and Zarhin, we further prove a similar Liang-type result for products of Kummer varieties and K3 surfaces over k.
Practical information
- Informed public
- Free
Organizer
- Zsolt Patakfalvi
Contact
- Monique Kiener