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Why is sheaf Hom left-exact?

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#algebraic-geometry #commutative-algebra #homological-algebra #sheaf-theory
472
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Global section of vector bundle and induced morphism

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#algebraic-geometry #sheaf-theory #vector-bundles
155
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Étale space associated to a sheaf with values in an abelian category

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#sheaf-theory
590
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Morphism of Stalks of Sheaves

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#sheaf-theory
808
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Sheafification as a limit

Published on
#category-theory #sheaf-theory
44
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Stuck at showing that $g_*f_* = (gf)_*$

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#sheaf-theory #global-analysis
214
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For any morphism of presheaves, if all maps of sections are injective, then all stalk maps are injective.

Published on
#algebraic-geometry #proof-verification #sheaf-theory
223
Views

Proving that sheaf is constant

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#algebraic-topology #sheaf-theory
28
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Limit of morphism of sheaves

Published on
#sheaf-theory
139
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Relative Deligne cohomology and its interpretation in terms of gerbes

Published on
#sheaf-theory #sheaf-cohomology #gauge-theory
1.1k
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Show that the stalk of the kernel is the kernel of the stalks.

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#algebraic-geometry #sheaf-theory
1.7k
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Pullback of sheaves.

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#algebraic-geometry #sheaf-theory
102
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Morphisms (of complexes concentrate in one degree or not) in the derived category

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#category-theory #sheaf-theory #derived-categories
173
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How to understand the hypercohomology of the projective limit of a complex of abelian sheaves?

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#algebraic-geometry #homological-algebra #sheaf-theory #derived-functors
59
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Sheaf in a transitive action

Published on
#sheaf-theory #group-actions

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