Stable maps and Chow groups
Algebraic Geometry
2013-09-12 v1
Abstract
According to the Bloch-Beilinson conjectures, an automorphism of a K3 surface X that acts as the identity on the transcendental lattice should act trivially on CH^2(X). We discuss this conjecture for symplectic involutions and prove it in one third of all cases. The main point is to use special elliptic K3 surfaces and stable maps to produce covering families of elliptic curves on the generic K3 surface that are invariant under the involution.
Cite
@article{arxiv.1202.4968,
title = {Stable maps and Chow groups},
author = {Daniel Huybrechts and Michael Kemeny},
journal= {arXiv preprint arXiv:1202.4968},
year = {2013}
}
Comments
11 pages