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15
173
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$f\in\mathcal{O}_X(X)$ is a unit $\Leftrightarrow f_x\neq 0$ for all $x\in X$

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#algebraic-geometry #sheaf-theory #schemes
122
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A help in exact sequence and Castelnuovo-Mumford regularity

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#algebraic-geometry #sheaf-theory #sheaf-cohomology
163
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What the exact definition of coherent $G-$ sheaf?

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#algebraic-geometry #sheaf-theory #abelian-varieties
108
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smooth morphisms and sheaf of differentials

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#algebraic-geometry #sheaf-theory #schemes #affine-varieties #local-rings
1k
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The structure sheaf on the disjoint union of affine schemes.

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#algebraic-geometry #sheaf-theory #schemes #affine-schemes
46
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Basic question about isomorphism of $O_X$-modules.

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#abstract-algebra #algebraic-geometry #commutative-algebra #sheaf-theory #schemes
923
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Understanding sheaf of relative differentials for a scheme

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#algebraic-geometry #sheaf-theory
172
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Mac Lane & Moerdijk's Exercise II.7.

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#category-theory #sheaf-theory #topos-theory #adjoint-functors
142
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Rational cohomology of closed nonorientable manifolds with coefficients in the orientation sheaf.

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#algebraic-topology #homology-cohomology #sheaf-theory
266
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Definition of inverse image ideal sheaf

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#algebraic-geometry #sheaf-theory
125
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$\mathcal{F}(U)\simeq \mathcal{F}_x$ for a skyscraper sheaf

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#algebraic-geometry #sheaf-theory
182
Views

A possible Grothendieck Topology/ Coverage of $\mathbf{Top}$?

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#algebraic-geometry #algebraic-topology #category-theory #sheaf-theory #grothendieck-topologies
252
Views

Map comparing Alexander-Spanier and Čech cohomology

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#sheaf-theory #sheaf-cohomology
227
Views

Is the right adjoint to presheaf direct image interesting?

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#category-theory #sheaf-theory
46
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Is a conic rationally equivalent to $2L$ for $L$ a line?

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#algebraic-geometry #sheaf-theory #vector-bundles #schemes

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