Commit 2025-12-03 12:21 4bf4bb17
View on Github →feat(AlgebraicGeometry): locally directed colimits in P.Over ⊤ S (#30140)
We lift the colimit properties of Scheme to P.Over ⊤ S if IsLocalAtSource P. In particular, P.Over ⊤ S has pushouts along open immersions and (small) coproducts.
We also add two instances, that make
example {U X Y : Scheme.{u}} (f : U ⟶ X) (g : U ⟶ Y)
[IsOpenImmersion f] [IsOpenImmersion g] : HasPushout f g :=
inferInstance
work.