Higher Chow cycles on a family of Kummer surfaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913434766934016 |
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| author | Sato, Ken |
| author_facet | Sato, Ken |
| contents | We construct a collection of families of higher Chow cycles of type $(2,1)$ on a 2-dimensional family of Kummer surfaces, and prove that for a very general member, they generate a subgroup of rank $\ge 18$ in the indecomposable part of the higher Chow group. Construction of the cycles uses a finite group action on the family, and the proof of their linear independence uses Picard-Fuchs differential operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_16109 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Higher Chow cycles on a family of Kummer surfaces Sato, Ken Algebraic Geometry 14C15, 14J28 We construct a collection of families of higher Chow cycles of type $(2,1)$ on a 2-dimensional family of Kummer surfaces, and prove that for a very general member, they generate a subgroup of rank $\ge 18$ in the indecomposable part of the higher Chow group. Construction of the cycles uses a finite group action on the family, and the proof of their linear independence uses Picard-Fuchs differential operators. |
| title | Higher Chow cycles on a family of Kummer surfaces |
| topic | Algebraic Geometry 14C15, 14J28 |
| url | https://arxiv.org/abs/2211.16109 |