Modular abelian varieties¶
- class sage.categories.modular_abelian_varieties.ModularAbelianVarieties(Y)¶
Bases:
sage.categories.category_types.Category_over_base
The category of modular abelian varieties over a given field.
EXAMPLES:
sage: ModularAbelianVarieties(QQ) Category of modular abelian varieties over Rational Field
- class Homsets(category, *args)¶
Bases:
sage.categories.homsets.HomsetsCategory
- class Endset(base_category)¶
Bases:
sage.categories.category_with_axiom.CategoryWithAxiom
- extra_super_categories()¶
Implement the fact that an endset of modular abelian variety is a ring.
EXAMPLES:
sage: ModularAbelianVarieties(QQ).Endsets().extra_super_categories() [Category of rings]
- base_field()¶
EXAMPLES:
sage: ModularAbelianVarieties(QQ).base_field() Rational Field
- super_categories()¶
EXAMPLES:
sage: ModularAbelianVarieties(QQ).super_categories() [Category of sets]