#17359: Hom sets for schemes and Hecke modules
---------------------------------+--------------------------
Reporter: pbruin | Owner:
Type: defect | Status: needs_work
Priority: minor | Milestone: sage-6.5
Component: categories | Resolution:
Keywords: scheme homset | Merged in:
Authors: Peter Bruin | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #17364 | Stopgaps:
---------------------------------+--------------------------
Changes (by pbruin):
* status: needs_review => needs_work
* dependencies: => #17364
* branch: u/pbruin/17359-Schemes_Homsets =>
* commit: 1cea3a55ba74c0f8e69c47bd8d74e16bc720ab8e =>
Old description:
> Hom sets in the category of schemes are constructed in a category that is
> not specific enough:
> {{{
> sage: Schemes().Homsets().all_super_categories()
> [Category of homsets of schemes, Category of objects]
> }}}
> Compare
> {{{
> sage: Sets().Homsets().all_super_categories()
> [Category of homsets of sets,
> Category of homsets,
> Category of sets,
> Category of sets with partial maps,
> Category of objects]
> }}}
New description:
In #17364, the supercategories of homsets of schemes were fixed: instead
of
{{{
sage: Schemes().Homsets().all_super_categories()
[Category of homsets of schemes, Category of objects]
}}}
we now have
{{{
sage: Schemes().Homsets().all_super_categories()
[Category of homsets of schemes,
Category of homsets,
Category of sets,
Category of sets with partial maps,
Category of objects]
}}}
There are two TODO items left from #17364, namely to determine the correct
categories for homsets of schemes and of Hecke modules. The purpose of
this ticket is to resolve these TODOs.
--
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Ticket URL: <http://trac.sagemath.org/ticket/17359#comment:7>
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