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]