Higher Chow cycles on some K3 surfaces with involution
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866915424041435136 |
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| author | Ma, Shouhei Sato, Ken |
| author_facet | Ma, Shouhei Sato, Ken |
| contents | We construct, for each 2<r<18, an explicit family of higher Chow cycles of type (2,1) on a family of lattice-polarized K3 surfaces of generic Picard rank r, and prove that the indecomposable part of this cycle is non-torsion for very general members of the family. These are the first explicit examples of such families in middle Picard rank. Our construction is based on singular double plane model of K3 surfaces, and the proof of indecomposability is done by a degeneration method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16132 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher Chow cycles on some K3 surfaces with involution Ma, Shouhei Sato, Ken Algebraic Geometry 14C25, 14J28 We construct, for each 2<r<18, an explicit family of higher Chow cycles of type (2,1) on a family of lattice-polarized K3 surfaces of generic Picard rank r, and prove that the indecomposable part of this cycle is non-torsion for very general members of the family. These are the first explicit examples of such families in middle Picard rank. Our construction is based on singular double plane model of K3 surfaces, and the proof of indecomposability is done by a degeneration method. |
| title | Higher Chow cycles on some K3 surfaces with involution |
| topic | Algebraic Geometry 14C25, 14J28 |
| url | https://arxiv.org/abs/2309.16132 |