A Filtration of the Chow Group of Zero-Cycles for a Product of Curves and an Abelian Variety
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911294555160576 |
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| author | Jaklitsch, Thomas |
| author_facet | Jaklitsch, Thomas |
| contents | In this paper we define a descending filtration on the Chow group of zero cycles for varieties of the form $A \times C_1 \times \cdots \times C_d$ where $A$ is an abelian variety and each $C_i$ is a smooth projective curve. We give explicit generators and relations for the successive quotients of this filtration by showing that they can be described by Somekawa K-groups. This extends the work of Raskind and Spiess who proved this result for products of curves and Gazaki who proved this for abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Filtration of the Chow Group of Zero-Cycles for a Product of Curves and an Abelian Variety Jaklitsch, Thomas Algebraic Geometry 14C15 In this paper we define a descending filtration on the Chow group of zero cycles for varieties of the form $A \times C_1 \times \cdots \times C_d$ where $A$ is an abelian variety and each $C_i$ is a smooth projective curve. We give explicit generators and relations for the successive quotients of this filtration by showing that they can be described by Somekawa K-groups. This extends the work of Raskind and Spiess who proved this result for products of curves and Gazaki who proved this for abelian varieties. |
| title | A Filtration of the Chow Group of Zero-Cycles for a Product of Curves and an Abelian Variety |
| topic | Algebraic Geometry 14C15 |
| url | https://arxiv.org/abs/2512.00569 |