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15
370
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Why is every sheaf of $\mathcal{O}_{X}$-modules not generated by global sections?

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#category-theory #sheaf-theory #quasicoherent-sheaves
148
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Free module after tensoring with a flat local ring

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#algebraic-geometry #commutative-algebra #vector-bundles #quasicoherent-sheaves
93
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On the support of sheaf of modules or quasi-coherent sheaves over ringed spaces

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#commutative-algebra #sheaf-theory #schemes #coherent-sheaves #quasicoherent-sheaves
190
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QCQS lemma for modules?

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#algebraic-geometry #schemes #quasicoherent-sheaves
856
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Gaga and quasicoherent sheaf

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#algebraic-geometry #complex-geometry #quasicoherent-sheaves
657
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Counter-examples for quasi-coherent, coherent, locally free and invertible sheaves

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#algebraic-geometry #sheaf-theory #coherent-sheaves #quasicoherent-sheaves
96
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$f_* f^* \mathcal{G}= \mathcal{G}$ and $f^* f_* \mathcal{F}= \mathcal{F}$ for Quasicoherent Sheaves

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#algebraic-geometry #coherent-sheaves #quasicoherent-sheaves
203
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Why are the noetherian objects in a category of quasicoherent sheaves just the coherent ones?

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#algebraic-geometry #schemes #abelian-categories #coherent-sheaves #quasicoherent-sheaves
55
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Is this exact: $0\to\mathcal{O}^{hol}\to\mathcal{O}(p)\to \Bbb{C}_p,$

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#complex-geometry #riemann-surfaces #quasicoherent-sheaves
73
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Quasicoherent sheaves on the groupoid of vector bundles on a surface

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#algebraic-geometry #vector-bundles #quasicoherent-sheaves
91
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Tensor product of sheaves over weighted projective spaces

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#algebraic-geometry #projective-space #quasicoherent-sheaves
225
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Where is the finiteness of product used in this proposition from Hartshorne?

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#algebraic-geometry #sheaf-theory #quasicoherent-sheaves
102
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Lemma about quasi-coherent modules

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#algebraic-geometry #quasicoherent-sheaves
785
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The kernel of a morphism of quasi-coherent sheaves on a scheme $(X,\mathcal{O}_X)$ is quasi-coherent.

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#algebraic-geometry #sheaf-theory #schemes #quasicoherent-sheaves
1k
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Morphisms with connected fibers

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#algebraic-geometry #reference-request #quasicoherent-sheaves

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