Computations on Modular Jacobian Surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914324866400256 |
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| author | González-Jiménez, Enrique González, Josep Guàrdia, Jordi |
| author_facet | González-Jiménez, Enrique González, Josep Guàrdia, Jordi |
| contents | We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties $A_f$ attached by Shimura to normalized newforms $f \in S_2( Γ_0(N))$. We present all the curves corresponding to principally polarized surfaces $A_f$ for $N\leq500$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11766 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Computations on Modular Jacobian Surfaces González-Jiménez, Enrique González, Josep Guàrdia, Jordi Number Theory Algebraic Geometry We give a method for finding rational equations of genus 2 curves whose jacobians are abelian varieties $A_f$ attached by Shimura to normalized newforms $f \in S_2( Γ_0(N))$. We present all the curves corresponding to principally polarized surfaces $A_f$ for $N\leq500$. |
| title | Computations on Modular Jacobian Surfaces |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2602.11766 |