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15
105
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Formal completion of modular curves

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#algebraic-geometry #elliptic-curves #schemes #modular-forms #arithmetic-geometry
353
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Homeomorphism between Schemes is Affine Morphism

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#algebraic-geometry #schemes
510
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Example of a dense but not schematically dense open subset

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#algebraic-geometry #schemes
83
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Explicit description of the scheme obtained by relative gluing data over a base scheme

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#general-topology #algebraic-geometry #schemes #fiber-bundles #representable-functor
53
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Is the structure morphism from an irreducible scheme open?

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#algebraic-geometry #schemes
61
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What's the meaning of $\mathcal O_S$-algebra?

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#algebraic-geometry #sheaf-theory #schemes
63
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How to show the two definitions of $\mathcal O_S$-algebra are equivalent?

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#algebraic-geometry #sheaf-theory #schemes
47
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Which page can I find the definition of $\mathcal O_S$-algebra in "Stacks Project"?

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#algebraic-geometry #sheaf-theory #schemes
27
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How to obtain the identity of $\mathcal B(U)$ from the above definition?

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#algebraic-geometry #sheaf-theory #schemes
188
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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
407
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Closed points and rational points

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#algebraic-geometry #schemes #galois-extensions #galois-representations
79
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Is $\mathcal I$ a quasi-coherent sheaf on $X$?

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#algebraic-geometry #sheaf-theory #schemes
613
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Is the étale site a small category?

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#algebraic-geometry #category-theory #set-theory #schemes
219
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Does a sheaf of abelian groups on a scheme $X$ induce a sheaf of abelian groups on the étale site $X_{ét}$?

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#algebraic-geometry #schemes #topos-theory #etale-cohomology
592
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Why é​t​a​l​e​?

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#algebraic-geometry #schemes #arithmetic-geometry #etale-cohomology

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