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$\text{Max Spec}\:A$ is Hausdorff for an algebra $A$ of finite type over a field.

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#commutative-algebra #affine-schemes
190
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Serres Vanishing Theorem II

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#algebraic-geometry #sheaf-theory #schemes #affine-schemes
146
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Serres Vanishing Theorem III

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#algebraic-geometry #homology-cohomology #schemes #affine-schemes
282
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Why is the open subscheme $D(p)\cup D(T)$ in $\text{Spec } \mathbb Z[T]$ not affine?

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#algebraic-geometry #schemes #affine-schemes
151
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Field valued points of a scheme

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#algebraic-geometry #schemes #affine-schemes
1.4k
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Spectrum of the ring of integers

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#ring-theory #schemes #affine-schemes
891
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Separatedness of open subscheme of affine schemes

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#algebraic-geometry #schemes #separation-axioms #affine-schemes
197
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Canonical scheme structure on the singular locus of (affine) schemes so that the inclusion map is closed immersion

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#algebraic-geometry #commutative-algebra #schemes #affine-schemes
242
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Generic point of closed subscheme meeting multiple irreducible components.

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#algebraic-geometry #affine-schemes
170
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Going from varieties to schemes

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#algebraic-geometry #schemes #affine-schemes #affine-varieties #zariski-topology
493
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Schemes and Varieties

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#algebraic-geometry #schemes #affine-schemes #affine-varieties
266
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What is the point of the topological space of a (locally) ringed space?

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#algebraic-geometry #schemes #affine-schemes #ringed-spaces
55
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blow up of affine reducible variety at point has isomorphic total ring of fractions?

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#algebraic-geometry #commutative-algebra #affine-schemes #blowup #birational-geometry
69
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Relating the sheaf associated to a cyclic module over an affine scheme to the structure sheaf

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#commutative-algebra #schemes #affine-schemes #coherent-sheaves #quasicoherent-sheaves
45
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Structure of quasi-coherent sheaf of ideals

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#schemes #affine-schemes #quasicoherent-sheaves

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