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초록
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.
키워드
modularity; abelian variety; Siegel modular variety; Galois representation; Siegel-Hecke eigenforms; zeta functions; Hecke algebra; <italic>p</italic>-Satake parameters; 14Kxx; ELLIPTIC-CURVES; REPRESENTATIONS; FORMS
- 제목
- The Modularity of an Abelian Variety
- 저자
- Yang, Jae-Hyun
- 발행일
- 2026-01-22
- 유형
- Article
- 저널명
- AXIOMS
- 권
- 15
- 호
- 1