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15
170
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Proof of Theorem II, 7.11 in "Residues and duality"

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#algebraic-geometry #proof-explanation #sheaf-theory #schemes #injective-module
106
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Algebraic proof of Liouville’s theorem

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#complex-analysis #algebraic-geometry #complex-geometry #sheaf-theory
90
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Example of a function $s\colon U\to \coprod_{P\in U} R_P$ in the structure sheaf

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#abstract-algebra #algebraic-geometry #sheaf-theory
117
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Characterization of isomorphisms of ringed spaces

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#sheaf-theory #ringed-spaces
52
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Injective module is stalkwise injective

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#sheaf-theory #abelian-categories #injective-module
57
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Existence of a sheafification for every presheaf $ \mathcal{O} '$

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#sheaf-theory #ringed-spaces #supermanifolds #presheaves
47
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Show the existence of a sheafification for every presheaf $\mathcal{O} '$

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#sheaf-theory #supergeometry #supermanifolds #presheaves
114
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Direct image of a locally constant sheaf

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#algebraic-geometry #algebraic-topology #sheaf-theory #fundamental-groups
76
Views

Explicit description of the stalks of the inverse image sheaf

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#sheaf-theory
166
Views

Example of reflexive coherent sheaves that are not locally free

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#algebraic-geometry #commutative-algebra #complex-geometry #sheaf-theory #kahler-manifolds
147
Views

How could stalk functor be seen as the pullback functor for the morphism $i_x:\{x\}\to X$?

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#algebraic-geometry #category-theory #sheaf-theory #slice-category
55
Views

Two ways to get a homomorphism $ \mathscr O_{Y,f(x)}\to \mathscr O_{X,x} $

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#sheaf-theory
75
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A surjecive homomorphism of $ \mathbb R $-algebras

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#abstract-algebra #sheaf-theory #ringed-spaces
44
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Morphisms of sheaves on a covering

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#sheaf-theory
89
Views

Global generation of a vector bundle

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#algebraic-geometry #sheaf-theory

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