Schemes#
- class sage.categories.schemes.Schemes(s=None)#
Bases:
sage.categories.category.Category
The category of all schemes.
EXAMPLES:
sage: Schemes() Category of schemes
Schemes
can also be used to construct the category of schemes over a given base:sage: Schemes(Spec(ZZ)) Category of schemes over Integer Ring sage: Schemes(ZZ) Category of schemes over Integer Ring
Todo
Make
Schemes()
a singleton category (and removeSchemes
from the workaround incategory_types.Category_over_base._test_category_over_bases()
).This is currently incompatible with the dispatching below.
- super_categories()#
EXAMPLES:
sage: Schemes().super_categories() [Category of sets]
- class sage.categories.schemes.Schemes_over_base(base, name=None)#
Bases:
sage.categories.category_types.Category_over_base
The category of schemes over a given base scheme.
EXAMPLES:
sage: Schemes(Spec(ZZ)) Category of schemes over Integer Ring
- base_scheme()#
EXAMPLES:
sage: Schemes(Spec(ZZ)).base_scheme() Spectrum of Integer Ring
- super_categories()#
EXAMPLES:
sage: Schemes(Spec(ZZ)).super_categories() [Category of schemes]