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178
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Exercise II 1.21.b Hartshorne

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#algebraic-geometry #ring-theory #sheaf-theory
67
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Explicitly Computing Structure Sheaves For Quotients of Polynomial Rings

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#algebraic-geometry #solution-verification #sheaf-theory #schemes
34
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Does every monic polynomial of degree n admit n solutions fppf-locally?

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#algebraic-geometry #sheaf-theory
45
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If $\mathcal{E}$ is a locally free sheaf and $j:U\to X$ is an open immersion, is $j_*j^* \mathcal{E}$ also locally free?

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#algebraic-geometry #sheaf-theory
42
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A question about the canonical maps $H^i(X,\mathcal{F}) \to H^i(X,sh(\mathcal{F}))$

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#algebraic-geometry #sheaf-theory #exact-sequence
391
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does monomorphism of sheaves of abelian groups imply it's injective on the level of open sets?

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#algebraic-geometry #sheaf-theory
50
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Definition of sheaves

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#differential-geometry #sheaf-theory
139
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How can kernel of morphism in the category of abelian groups be treat as a functor

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#category-theory #sheaf-theory
54
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Appropriate categorical statement generalizing a fact about sheaf restriction

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#algebraic-geometry #category-theory #sheaf-theory
85
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Surjectivity of $\mathscr G\to f_*f^{-1}\mathscr G$

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#algebraic-geometry #category-theory #sheaf-theory #ringed-spaces
349
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Sheafification without using stalks?

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#abstract-algebra #algebraic-geometry #sheaf-theory
151
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Computing a convolution of sheaves

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#algebraic-geometry #convolution #sheaf-theory
204
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Is this a correct way of constructing the Mayer–Vietoris sequence in sheaf cohomology?

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#algebraic-topology #homology-cohomology #sheaf-theory #sheaf-cohomology #derived-functors
56
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Relation between support of section on $\Gamma(U,f_* \mathcal{F})$ and $\Gamma(f^{-1}U,\mathcal{F})$

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#algebraic-geometry #sheaf-theory
103
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Internal hom of equivariant sheaves

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#algebraic-geometry #group-actions #sheaf-theory #algebraic-groups #quasicoherent-sheaves

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