Higher Chow cycles on Eisenstein K3 surfaces

Fuente: arXiv
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Autore principale: Sato, Ken
Natura: Preprint
Pubblicazione: 2025
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author Sato, Ken
author_facet Sato, Ken
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09911
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higher Chow cycles on Eisenstein K3 surfaces
Sato, Ken
Algebraic Geometry
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.
title Higher Chow cycles on Eisenstein K3 surfaces
topic Algebraic Geometry
url https://arxiv.org/abs/2504.09911