The modularity of an abelian variety
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915760932126720 |
|---|---|
| author | Yang, Jae-Hyun |
| author_facet | Yang, Jae-Hyun |
| contents | We introduce the concept of the modularity of an abelian variety defined over the rational number field extending the modularity of an elliptic curve. We discuss the modularity of an abelian variety over the rational number field. We conjecture that a simple abelian variety over the rational number field is modular. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The modularity of an abelian variety Yang, Jae-Hyun Number Theory Algebraic Geometry 14Kxx, 14G35, 11F46, 11F80 We introduce the concept of the modularity of an abelian variety defined over the rational number field extending the modularity of an elliptic curve. We discuss the modularity of an abelian variety over the rational number field. We conjecture that a simple abelian variety over the rational number field is modular. |
| title | The modularity of an abelian variety |
| topic | Number Theory Algebraic Geometry 14Kxx, 14G35, 11F46, 11F80 |
| url | https://arxiv.org/abs/2507.08970 |