Zero cycles on products of elliptic curves over local fields with supersingular reduction
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914174760648704 |
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| author | Castano, Alejandro De Las Penas |
| author_facet | Castano, Alejandro De Las Penas |
| contents | For a product $E_1\times E_2$ of two elliptic curves over a $p$-adic field with good supersingular reduction, we produce infinitely many rational equivalences in the Chow group $\mathrm{CH}_0(X)$ of zero cycles via genus 2 covers of $E_1$ and $E_2$. We use this to obtain evidence for a conjecture of Colliot-Thélène about the structure of the Albanese kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zero cycles on products of elliptic curves over local fields with supersingular reduction Castano, Alejandro De Las Penas Algebraic Geometry 14C25 (Primary), 14G20, 11G07 (Secondary) For a product $E_1\times E_2$ of two elliptic curves over a $p$-adic field with good supersingular reduction, we produce infinitely many rational equivalences in the Chow group $\mathrm{CH}_0(X)$ of zero cycles via genus 2 covers of $E_1$ and $E_2$. We use this to obtain evidence for a conjecture of Colliot-Thélène about the structure of the Albanese kernel. |
| title | Zero cycles on products of elliptic curves over local fields with supersingular reduction |
| topic | Algebraic Geometry 14C25 (Primary), 14G20, 11G07 (Secondary) |
| url | https://arxiv.org/abs/2512.00568 |