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Natural isomorphism $f^{-1}k_{YZ}\rightarrow k_{Xf^{-1}Z}$

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#algebraic-geometry #algebraic-topology #sheaf-theory
166
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Is the category of abelian presheaves on a topos closed?

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#category-theory #sheaf-theory #abelian-categories #topos-theory
103
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de Rham and Hodge cohomologies become locally free after localization?

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#algebraic-geometry #sheaf-theory #coherent-sheaves #de-rham-cohomology
54
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Are equivariant perverse sheaves constructible with respect to the orbit stratification?

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#algebraic-geometry #algebraic-topology #sheaf-theory #algebraic-groups #local-systems
273
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Projection formula for affine morphisms (Vakil 16.3.H.c)

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#algebraic-geometry #sheaf-theory
63
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$\mathcal{K}$-homology sheaf on affine space.

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#algebraic-geometry #sheaf-theory #algebraic-k-theory
2.7k
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What exactly is sheafification?

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#algebraic-geometry #sheaf-theory #local-rings
196
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Skyscreaper sheaf, Ext and Hom.

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#algebraic-geometry #sheaf-theory
333
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Inverse image sheaf of an $\mathcal{O}_Y$ Module

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#algebraic-geometry #solution-verification #sheaf-theory
58
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Liu Exercise 5.21

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#algebraic-geometry #sheaf-theory #sheaf-cohomology
114
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Sheafification via compatible germs for Grothendieck topologies?

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#algebraic-geometry #sheaf-theory #grothendieck-topologies
78
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Sheaves $\mathcal{F}$ such that $\mathcal{F} \otimes\mathcal{G} \cong \mathcal{O}_X^{\oplus n}$: what are they called?

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#algebraic-geometry #sheaf-theory #schemes
57
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Restriction of $G$-equivariant sheaves to fixed locus

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#algebraic-geometry #sheaf-theory #k-theory #algebraic-k-theory
212
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Why is the relative Frobenius morphism flat?

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#algebraic-geometry #sheaf-theory #sheaf-cohomology
115
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Am I reasoning correctly about sheafifications and exact sequences of sheaves; and does the category of sheaves have limits?

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#algebraic-geometry #category-theory #sheaf-theory

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