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Fix construct homset of elliptic curve in Sets() #39051

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@user202729 user202729 commented Nov 28, 2024

Because Hom(E, E, Sets()) is supposed to be the set of homomorphisms between E and E considered as sets. Returning a EllipticCurveHomset is way too restrictive.

Side issue: there are more morphisms in the category of schemes than morphisms in the category of elliptic curves too. (specifically, a morphism in the category of schemes does not need to send origin to origin)

How should this be fixed? (considering that there isn't even a category of elliptic curves as far as I can see?)

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@user202729 user202729 force-pushed the elliptic-curve-homset branch from 1f1105e to 1eff5e5 Compare November 28, 2024 09:08
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user202729 commented Nov 28, 2024

The new commit should make the category of GluedScheme to be category of schemes instead. Previously it was reported as the category of sets, which is not strong enough.

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Maybe @yyyyx4 would be suitable to review this (as the one who added the elliptic curve homset functionality in the first place)?

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