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15
408
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Twisted sheaves in Hartshorne

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#sheaf-theory #schemes #coherent-sheaves #projective-schemes
155
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How do Fourier-Mukai equivalences not contradict reconstruction theorems?

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#algebraic-geometry #sheaf-theory #abelian-varieties #derived-categories
208
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Support of a global section closed

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#algebraic-geometry #sheaf-theory
46
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Morphism of sheaves $\mathcal{G}\to\iota_*\mathcal{F}$ induced by $\mathcal{G}\big|_Z\to\mathcal{F}$

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#algebraic-geometry #sheaf-theory
1.2k
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Reduced scheme $X_{red}$ out of a scheme $X$

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#algebraic-geometry #sheaf-theory #schemes
223
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Question related to a quotient sheaf being quasi-coherent

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#algebraic-geometry #sheaf-theory #quasicoherent-sheaves
163
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Cosheaf on a base

Published on
#category-theory #sheaf-theory #limits-colimits
128
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If a presheaf $\mathcal{F}$ coincides locally with a sheaf $\mathcal{G}$, then $\mathcal{F}^{sh}\simeq \mathcal{G}$?

Published on
#sheaf-theory #universal-property
80
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Exact sequences of sheaves and isomorphisms between them

Published on
#algebraic-geometry #commutative-algebra #sheaf-theory
126
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Neutral element in $\operatorname{Ext}(\mathcal{F},\mathcal{G})$

Published on
#algebraic-geometry #homological-algebra #sheaf-theory
99
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Direct image with the absolute Frobenius

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#algebraic-geometry #sheaf-theory #schemes
212
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Pushforward of tangent bundle. Can it be $0$?

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#algebraic-geometry #sheaf-theory #vector-bundles #schemes
205
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Riemann-Roch Theorem for projective normal curve

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#algebraic-geometry #sheaf-theory #algebraic-curves #divisors-algebraic-geometry
674
Views

Injective morphisms of locally free sheaves and fiberwise injectivity of vector bundles

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#differential-geometry #algebraic-geometry #complex-geometry #sheaf-theory #vector-bundles
70
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If $Z:=\bigcap_{x\in U}U$, prove that $(Z,\mathcal{O}_X\big|_Z)\simeq (\text{Spec}(\mathcal{O}_{X,x}),\mathcal{O}_{\text{Spec}(\mathcal{O}_{X,x})})$

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#algebraic-geometry #sheaf-theory #affine-schemes

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