List questions from schemes

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examples of schemes other than $\text{spec} R$?

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Definition of Sheaf of Rational Functions on Integral Scheme?

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Manifold $M$ and affine scheme $\text{Spec}(C^\infty(M))$.

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Is an injective proper morphism of schemes a closed immersion

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Properties preserved by categorical quotient (after Mumford's GIT)

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Isomorphism with affine scheme

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Misconception about surjective morphisms of schemes

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Pulling back cycles to closed subschemes

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Proposition $3.20$ of Algebraic Geometry and Aritmetic Curves- Qing Liu

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$Y \subset X$ noetherian schemes, $\mathcal{F} \in Y-\mathbf{Mod}$. When $H^i(Y,\mathcal{F})=H^i(X,\mathcal{F})?$

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Faithful direct image functor

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K points of X correspond to A points of its model

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List Question

multiplicities of flat pullbacks

examples of schemes other than $\text{spec} R$?

Definition of Sheaf of Rational Functions on Integral Scheme?

Manifold $M$ and affine scheme $\text{Spec}(C^\infty(M))$.

Is an injective proper morphism of schemes a closed immersion

Properties preserved by categorical quotient (after Mumford's GIT)

Isomorphism with affine scheme

Misconception about surjective morphisms of schemes

Pulling back cycles to closed subschemes

A beginner's question on rational points

Finite union of affine schemes

Proposition $3.20$ of Algebraic Geometry and Aritmetic Curves- Qing Liu

$Y \subset X$ noetherian schemes, $\mathcal{F} \in Y-\mathbf{Mod}$. When $H^i(Y,\mathcal{F})=H^i(X,\mathcal{F})?$

Faithful direct image functor

K points of X correspond to A points of its model

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