The Modularity of an Abelian Variety
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 Q. We conjecture that a simple abelian variety over Q is modular.
Authors
- Jae-Hyun Yang
Institutions
- Korea Institute for Advanced Study (KR)
- Inha University (KR)
Publication Details
- Journal
- Axioms
- Published
- 2026-01-22
- DOI
- https://doi.org/10.3390/axioms15010081
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00