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Sheaf cohomology; global sections of $\Omega_X^1$

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#homology-cohomology #sheaf-theory #riemann-surfaces #sheaf-cohomology
1.3k
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Category of quasicoherent sheaves not abelian

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#algebraic-geometry #sheaf-theory #abelian-categories #coherent-sheaves #quasicoherent-sheaves
2.7k
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Prove that the support of a section of a sheaf is a closed set

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#sheaf-theory
140
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Gluing two topological spaces and sheaves on them

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#sheaf-theory
2.6k
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A morphism of sheaves of sets is an isomorphism if it induces an isomorphism of all stalks.

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#algebraic-geometry #category-theory #sheaf-theory
292
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Injective $\mathcal O_X$-module which is not an injective sheaf

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#homological-algebra #sheaf-theory
507
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Prove that a set of differentiable function on $\mathbb{R^n}$ is a sheaf

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#sheaf-theory #global-analysis
86
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Short sequences of vector bundles induce long exact sequence in sheaf cohomology

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#complex-geometry #sheaf-theory #vector-bundles #sheaf-cohomology
87
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$\mathcal{O}_{\mathbb{P}^1}(d)\cong L(d)$

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#algebraic-geometry #sheaf-theory #line-bundles
142
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Sheaf of homogeneous functions

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#algebraic-geometry #sheaf-theory #projective-space
2.2k
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Skyscraper sheaves cohomology

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#sheaf-theory #sheaf-cohomology
4.3k
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The Global Sections Functor and the Hom Functor

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#algebraic-geometry #algebraic-topology #homological-algebra #sheaf-theory #sheaf-cohomology
169
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What is the meaning of "Ring structure varying continuously with $x$?"

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#abstract-algebra #terminology #sheaf-theory
216
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On the definition of ugly manifolds

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#differential-geometry #manifolds #sheaf-theory
313
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Characterization of skyscraper sheaves

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#sheaf-theory

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