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Function field scheme and base change

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#algebraic-geometry #schemes #etale-cohomology
131
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Definition of weil divisors

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#algebraic-geometry #schemes #divisors-algebraic-geometry
546
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Why don't we use the étale definition of sheaves in Algebraic Geometry

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#soft-question #sheaf-theory #schemes
391
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Tensoring by locally free sheaves preserves quasi-isomorphism

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#algebraic-geometry #schemes #sheaf-cohomology #coherent-sheaves #quasicoherent-sheaves
395
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Coherent sheaves in closed subscheme

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#algebraic-geometry #sheaf-theory #schemes #coherent-sheaves
606
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Under which conditions do the restriction maps of sheaves of modules occur to be injective?

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#algebraic-geometry #sheaf-theory #schemes
249
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Normalization of a projective morphism of relative dimension 1

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#algebraic-geometry #schemes #etale-cohomology
1k
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Every morphism from Spec $R$ to $X$ factors through Spec $\mathcal{O}_{X,x}$ where $R$ is a local ring

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#algebraic-geometry #schemes
259
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What's the Kan's theorem about geometric realization functor in algebraic geometry?

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#algebraic-geometry #category-theory #schemes
1.1k
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Why is a locally closed subscheme defined in this way?

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#algebraic-geometry #definition #schemes
302
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Is this projection from this incidence correspondence an open map?

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#algebraic-geometry #complex-geometry #vector-bundles #schemes #grassmannian
2.1k
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closed points of a scheme and k-points

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#algebraic-geometry #schemes
178
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Vanishing of a global section of a vector bundle $\mathcal{E}$

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#algebraic-geometry #vector-bundles #schemes
106
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Checking morphism (locally) of finite type to an affine scheme

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#algebraic-geometry #schemes #affine-schemes
76
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Why do Integral Schemes have Normalizations?

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#algebraic-geometry #schemes

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