Vanishing results in Chow groups for the modified diagonal cycles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866910510209826816 |
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| author | Qiu, Congling Zhang, Wei |
| author_facet | Qiu, Congling Zhang, Wei |
| contents | We prove a sufficient condition for the vanishing of the modified diagonal cycle in the Chow group (with $\mathbb{Q}$-coefficients) of the triple product of a curve over $\mathbb{C}$. We exhibit infinitely many non-hyperelliptic curves, including the Fricke--Macbeath curve, the Bring curve, and two 1-dimensional families parameterized by certain Hurwitz spaces, for which our condition is satisfied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_09736 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Vanishing results in Chow groups for the modified diagonal cycles Qiu, Congling Zhang, Wei Algebraic Geometry Number Theory We prove a sufficient condition for the vanishing of the modified diagonal cycle in the Chow group (with $\mathbb{Q}$-coefficients) of the triple product of a curve over $\mathbb{C}$. We exhibit infinitely many non-hyperelliptic curves, including the Fricke--Macbeath curve, the Bring curve, and two 1-dimensional families parameterized by certain Hurwitz spaces, for which our condition is satisfied. |
| title | Vanishing results in Chow groups for the modified diagonal cycles |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2209.09736 |