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subsheaf of free sheaves

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#algebraic-geometry #curves #coherent-sheaves
827
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Quasicoherent sheaves as smallest abelian category containing locally free sheaves

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#algebraic-geometry #sheaf-theory #vector-bundles #coherent-sheaves #quasicoherent-sheaves
2.5k
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Why did Serre choose coherent sheaves?

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#algebraic-geometry #sheaf-theory #sheaf-cohomology #coherent-sheaves #quasicoherent-sheaves
368
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Cohomological criterion for being a vector bundle

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#algebraic-geometry #reference-request #sheaf-theory #vector-bundles #coherent-sheaves
132
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Direct limit of rings and coherent sheaves

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#algebraic-geometry #commutative-algebra #coherent-sheaves
288
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Extensions of sheaves with isomorphic middle terms

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#algebraic-geometry #homological-algebra #coherent-sheaves
342
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Geometric intuition for coherent rings, modules, and sheaves

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#commutative-algebra #modules #coherent-sheaves #coherent-rings
133
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Annihilator ideal of image sheaf

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#complex-geometry #sheaf-theory #coherent-sheaves
166
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Reference Request: Quasi-Coherent Sheaves, Picard Group, etc.

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#algebraic-geometry #reference-request #coherent-sheaves #quasicoherent-sheaves
110
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How can I understand instantons as sheaves?

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#algebraic-geometry #mathematical-physics #coherent-sheaves #moduli-space
79
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Some propreties about $ \mathfrak{Coh}_X $ and $ \mathfrak{QCoh}_X $.

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#category-theory #vector-bundles #abelian-categories #coherent-sheaves #quasicoherent-sheaves
819
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Normal bundle of twisted cubic.

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#algebraic-geometry #algebraic-curves #coherent-sheaves
7.5k
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Vector bundle as locally free coherent sheaves

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#algebraic-geometry #sheaf-theory #complex-geometry #vector-bundles #coherent-sheaves
351
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$\Gamma(X,-)$ for Quasi-Coherent/Coherent Sheaves Maps to R-modules/Finitely Generated R modules

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#algebraic-geometry #schemes #coherent-sheaves #quasicoherent-sheaves
148
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The normal bundle of conic

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#algebraic-geometry #algebraic-curves #vector-bundles #coherent-sheaves

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