Higher Chow cycles on Eisenstein K3 surfaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912325612601344 |
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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 |