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A question on the fibered product of schemes

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#algebraic-geometry #schemes #fibre-product
443
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The existence of fibre product of schemes

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#algebraic-geometry #schemes #fibre-product
321
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Hartshorne II.3.22c following the hint

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#algebraic-geometry #dimension-theory-algebra #fibre-product
303
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EGA I (Springer), Proposition 0.4.5.4.

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#algebraic-geometry #category-theory #functors #representable-functor #fibre-product
1.8k
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How to understand fibres of morphisms of schemes.

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#algebraic-geometry #fibre-product
359
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Question about irreducible components of the fiber product $\operatorname{Spec}(k[t]) \times_{\text{Spec}(k[t^2])} \operatorname{Spec}(k[t])$

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#algebraic-geometry #schemes #fibre-product
141
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Pullback of localisations of commutative ring

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#commutative-algebra #category-theory #localization #pullback #fibre-product
721
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An example when the direct image of a locally free sheaf is not locally free

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#algebraic-geometry #vector-bundles #pushforward #fibre-product
767
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The Image of Diagonal Morphism $\Delta(X)$

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#algebraic-geometry #commutative-algebra #schemes #affine-schemes #fibre-product
214
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If $S\to T$ is a closed immersion, then $X\times_S Y\simeq X\times_T Y$.

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#algebraic-geometry #schemes #universal-property #fibre-product
444
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Fiber product of separated schemes is again separated.

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#algebraic-geometry #fibre-product
44
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Uniquness of the fiber product

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#algebraic-geometry #commutative-algebra #category-theory #fibre-product
63
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Geometric fibres of a spec of a field

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#algebraic-geometry #affine-schemes #fibre-product
284
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fibre of a scheme of finite type over a field being quasi-compact

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#algebraic-geometry #schemes #affine-schemes #fibre-product
61
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Strange notation of fibre product in an article of Cattaneo, Felder and Tomassini.

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#differential-geometry #equivariant-maps #fibre-product

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