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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.07402 |
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| _version_ | 1866909689558597632 |
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| author | Ritter, Caelan |
| author_facet | Ritter, Caelan |
| contents | Given a finite graph $G$, we define the Ceresa period $α(G)$ as a tool for studying algebraic triviality of the tropical Ceresa cycle introduced by Zharkov. We show that $α(G) = 0$ if and only if $G$ is of hyperelliptic type; then a theorem of Corey implies that having $α(G) = 0$ is a minor-closed condition with forbidden minors $K_4$ and $L_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Ceresa period from tropical homology Ritter, Caelan Algebraic Geometry Combinatorics Given a finite graph $G$, we define the Ceresa period $α(G)$ as a tool for studying algebraic triviality of the tropical Ceresa cycle introduced by Zharkov. We show that $α(G) = 0$ if and only if $G$ is of hyperelliptic type; then a theorem of Corey implies that having $α(G) = 0$ is a minor-closed condition with forbidden minors $K_4$ and $L_3$. |
| title | The Ceresa period from tropical homology |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2405.07402 |