Conferences - Seminars

14NOV
2018
  Wednesday 14 November 2018 14:00 - 15:00 MA A1 12

Arithmetic of zero-cycles on products of Kummer varieties and K3 surfaces

By Francesca Balestrieri (Max Planck Institute, Bonn)

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.

Organization Zsolt Patakfalvi

Contact Monique Kiener

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