Modular abelian varieties¶
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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
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class
Homsets
(category, *args)¶ Bases:
sage.categories.homsets.HomsetsCategory
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class
Endset
(base_category)¶ Bases:
sage.categories.category_with_axiom.CategoryWithAxiom
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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]
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class
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base_field
()¶ EXAMPLES:
sage: ModularAbelianVarieties(QQ).base_field() Rational Field
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super_categories
()¶ EXAMPLES:
sage: ModularAbelianVarieties(QQ).super_categories() [Category of sets]
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class