Zero-cycles on K3 surfaces over local fields
Speaker:
Jonathan Love, McGill University
Date and Time:
Friday, June 14, 2024 - 3:15pm to 3:40pm
Location:
Fields Institute, Room 230
Abstract:
The Chow group of zero-cycles of an algebraic variety is a mysterious object whose structure depends in a crucial way on the arithmetic properties of the base field. For a certain class of K3 surfaces over a finite extension k of Qp, we show that if k/Qp is unramified then the Chow group of zero-cycles of degree 0 is a divisible group. On the other hand, we give examples to demonstrate that for ramified extensions k/Qp, the quotient of the Chow group by its maximal divisible subgroup can be an arbitrarily large finite group.
This is joint work with Evangelia Gazaki.