Higher Chow cycles on Eisenstein K3 surfaces
Algebraic Geometry
2025-04-15 v1
Abstract
We construct higher Chow cycles of type (2,1) on some families of K3 surfaces with non-symplectic automorphisms of order 3 and prove that our cycles are indecomposable for very general members. The proof is a combination of some degeneration arguments, and explicit computations of the regulator map.
Cite
@article{arxiv.2504.09911,
title = {Higher Chow cycles on Eisenstein K3 surfaces},
author = {Ken Sato},
journal= {arXiv preprint arXiv:2504.09911},
year = {2025}
}
Comments
22 pages, 10 figures