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Description of tangent space via locally ringed space arrows from dual numbers

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#differential-geometry #manifolds #smooth-manifolds #ringed-spaces
312
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Ideal sheaf which is locally generated by sections.

Published on
#sheaf-theory #schemes #ringed-spaces
316
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About gluing of sheaves on a cover

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#algebraic-geometry #sheaf-theory #ringed-spaces
55
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Does the locally-ringed spaces viewpoint on topology actually do what we want?

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#manifolds #differential-topology #riemann-surfaces #complex-manifolds #ringed-spaces
92
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The 'Locally Ringed' condition in the definition of a scheme.

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#algebraic-geometry #schemes #ringed-spaces
96
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Showing that $\mathbb{P}^1$ is two copies of $\mathbb{C}$ glued together; is there a high-power tool that can help here?

Published on
#algebraic-geometry #category-theory #ringed-spaces
167
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Are morphisms of algebraic varieties determined by their underlying functions?

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#algebraic-geometry #ringed-spaces
669
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Locally free $\mathcal{O}_{X}$ modules are not projective

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#algebraic-geometry #homological-algebra #sheaf-theory #fake-proofs #ringed-spaces
182
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If restricted morphism of ringed spaces are equal, then they are actually equal

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#sheaf-theory #ringed-spaces
198
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Definition of the sheaf $GL_n(\mathcal{O}_X)$ of invertible $\mathcal{O}_X-$linear functions

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#algebraic-geometry #sheaf-theory #ringed-spaces
33
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Why adjunction appear to preserve stalk?

Published on
#algebraic-geometry #sheaf-theory #ringed-spaces
167
Views

$X_f$ of locally ringed space $(X, O_X)$.

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#algebraic-geometry #sheaf-theory #schemes #ringed-spaces
147
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Determinant of a nonfree module

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#algebraic-geometry #ring-theory #modules #determinant #ringed-spaces
44
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Bijective $\mathcal{O}_X$-Module Homomorphisms

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#algebraic-geometry #modules #sheaf-theory #ringed-spaces
251
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What is the point of the topological space of a (locally) ringed space?

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#algebraic-geometry #schemes #affine-schemes #ringed-spaces

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