Stable maps and Chow groups

Details Stable maps and Chow groups Stable maps and Chow groups

2012-02-22

arxiv.org/abs/1202.4968v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

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.

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