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arXiv · 2504.09911

Higher Chow cycles on Eisenstein K3 surfaces

Ken Sato
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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.

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Ken Sato. 2025-04-14. Higher Chow cycles on Eisenstein K3 surfaces. https://arxiv.org/abs/2504.09911

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