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Isomorphisms of sheaves, are they equal in this situation?

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#sheaf-theory
401
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Why is the h-topology not subcanonical?

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#algebraic-geometry #sheaf-theory #topos-theory #grothendieck-topologies
102
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Open and closed localization of sheaves

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#math-history #sheaf-theory
114
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Construct natural transformation $u^* R^i f_* \rightarrow R^i g_* v^*$ without assumption of quasi-coherence

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#algebraic-geometry #homological-algebra #sheaf-theory #coherent-sheaves
984
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Why is this locally free sheaf free?

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#algebraic-geometry #sheaf-theory
1.4k
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Exact sequence of sheaves from the exactness of sections

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#sheaf-theory #exact-sequence
720
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When does a smooth projective variety X have a free Grothendieck group

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#algebraic-geometry #sheaf-theory #k-theory #algebraic-k-theory
488
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Splitting of short exact sequence of sheaves

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#algebraic-geometry #sheaf-theory #exact-sequence
300
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Why are these two definitions of the left-adjoint to $u^p\colon PShv(D)\to PShv(C)$ equivalent?

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#category-theory #sheaf-theory #topos-theory
458
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Action on sheaf cohomology in Bott-Borel-Weil theorem

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#representation-theory #lie-groups #sheaf-theory #vector-bundles #sheaf-cohomology
185
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$S$-local objects of presheaves are reflective and characterize local presentability

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#reference-request #category-theory #sheaf-theory #localization #locally-presentable-categories
431
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Pullback of the skyscraper sheaf

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#algebraic-geometry #sheaf-theory
43
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Is the cokernel of the pullback-pushforward of a coherent sheaf in the image of the pushforward on the complement

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#sheaf-theory
312
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Simpleminded example: flasque sheaves

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#algebraic-geometry #homological-algebra #sheaf-theory #complex-geometry
451
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Structure sheaf of $Proj \ S$ in terms of compatible stalks

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#algebraic-geometry #sheaf-theory #projective-schemes

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