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  "body": "\n## Summary\n\nAn affine morphism $X \\to Y$ of schemes is one for which the preimage of every open affine subscheme of $Y$ is affine.\nAffine morphisms over $Y$ correspond to quasi-coherent sheaves of algebras on $Y$, through the relative spectrum construction.\nThey include closed immersions, finite morphisms and vector bundles.\n\n## Explanations\n\n### L1 human\n\nAn affine morphism is a family of affine schemes parametrized by the points of $Y$, glued in a coherent way.\nOver each affine piece $\\operatorname{Spec} B$ of $Y$, the part of $X$ above it is the spectrum of a single $B$-algebra.\nEvery morphism between affine schemes is affine.\nThe map from the plane minus the origin to a point is not affine, since the plane minus the origin is not an affine scheme.\n",
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