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15
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The open affine subsets of an algebraic variety $X$ form an open base for the topology of $X$

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#algebraic-geometry #sheaf-theory #coherent-sheaves #zariski-topology
128
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Computing degree of hom sheaf of coherent sheaves.

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#algebraic-geometry #algebraic-curves #coherent-sheaves
144
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What is the module and sheaf of differentials (actually)?

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#algebraic-geometry #commutative-algebra #modules #sheaf-theory #coherent-sheaves
135
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Clarifying a step in an answer about exterior products of coherent sheaves

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#algebraic-geometry #commutative-algebra #homological-algebra #exterior-algebra #coherent-sheaves
376
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Confused about why the conormal exact sequence is what it is on a scheme

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#algebraic-geometry #commutative-algebra #schemes #coherent-sheaves
148
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Vakil 13.7.A(b): Proof verification

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#proof-verification #algebraic-geometry #coherent-sheaves
1.8k
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Characterization of torsion-free sheaves

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#algebraic-geometry #sheaf-theory #schemes #affine-schemes #coherent-sheaves
199
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are the global sections of a flat sheaf over a discrete valuation ring a free module?

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#algebraic-geometry #schemes #sheaf-cohomology #coherent-sheaves #flatness
154
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Hartshorne III.7.6(b) - Duality for a projective scheme

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#algebraic-geometry #coherent-sheaves
47
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Broad question on morphisms of stalks of quasi-coherent sheaves on schemes

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#algebraic-geometry #schemes #localization #coherent-sheaves #quasicoherent-sheaves
2k
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Pullback of locally free sheaves is locally free

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#algebraic-geometry #sheaf-theory #schemes #coherent-sheaves #free-modules
41
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Quot-like scheme for torsion sheaves

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#algebraic-geometry #schemes #coherent-sheaves #moduli-space #representable-functor
69
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Relating the sheaf associated to a cyclic module over an affine scheme to the structure sheaf

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#commutative-algebra #schemes #affine-schemes #coherent-sheaves #quasicoherent-sheaves
328
Views

Is the inverse image exact on locally free sheaves?

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#abstract-algebra #algebraic-geometry #coherent-sheaves
635
Views

When does the direct image functor respect direct sums of sheaves?

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#algebraic-geometry #category-theory #schemes #adjoint-functors #coherent-sheaves

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